Injured horse forced out

The main issue with my colt is barn ethics, but ultimately my question is: Would my yearling colt be OK kept in a galvanized steel lean-to with a fence panel closure in full sun, day temps ranging from 98-105 for a couple of months? The open side faces directly east, so he would have the morning sun hitting him straight on. The lean-to is approximately 10X10. I'm thinking, absolutely not, it will be too hot, but want other opinions.

The ethics of the situation: colt has healing pastern wound, actually 3 wounds in different locations, one abrasion on front, another side abrasion and cut on back of pastern. He is has been under vet's care from the beginning. I keep it bandaged according to vet's instructions. With the 3rd injury, which was due to his activity two weeks ago, the vet told me to put him in a stall to immobilize him as much as possible until everything healed to the point that we could leave bandaging off.
Barn manager says, no problem, put him in stall, and I need not pay for the stall board. Come to find out a couple of days ago that it was so he could lease it out from under me, ironically to an acquaintance of mine. Therefore, I am told that I will need to vacate the stall in a week and that if I HAVE to keep the colt quiet he will put him in the lean-to out in a pasture.

Part 2, ethics of the situation: all the cowboys who hang out at the barn, including the manager, none of whom have DVM degrees by the way, have been harassing me about bandaging the wound and keeping the colt put up in a stall. For example, "When are you going to stop bandaging that leg?" "That vet is really milking you for everything he can get" "Just put gold dust on it" "WHO is your vet?" NONE of these guys has even seen the wounds, and I doubt that they have read as extensively as I have on wounds and treatment (I have a medical background). It's a new place and there is a lot of posturing going on, and I have been the mature one watching the boys and, as one of my female boarder friend says, their peeing contests going on, but when I was told this morning that I would be put out in a lean-to if I HAD to have a stall, that was going just a little too far. Why didn't he just tell the prospective new boarder that the stall won't be available until another month or two? Because, most likely, he doesn't respect me nor my vet's professional treatment plan.

Yes, I am considering a new place to board. There isn't much available. This hasn't been the first sign of boorishness from this manager, although it has never been directed towards me. However, I have been too angry over the situation all day and just want to bounce it off someone else to get an objective opinion. What would any of you do? The manager is a popular local trainer so there isn't really anyone I can talk to locally without stirring things up.

Here are pics of the wound, well the front one anyway, the oldest one, and the lean-to taken about 8 a.m. This morning. I think he should be OK in the lean-to, would appreciate any advice??? Will it be too hot for him?
As I said, the idea is to restrict his movement so the wounds at side & back of pastern can heal.

Would you be blocking the front of the lean to keep him in? That looks bigger than 10x10.
Morning sun is better than afternoon sun. Any way to put a fan in there? That should get the boys rolling but so what?

Have you had the manager present when the vet has been on site?

Believe it or not, there are folks that add to the situation by twisting what the vet has said. A sit down with the three of you is the best thing for your colt right now.

The shed and corral doesn't look too bad - I see shade from a big tree which is helpful. Did you mean that the horse would be confined directly in the shed by corral panels? If he's got the corral and shed all to himself he may stay quiet enough to not interfere with the healing process and just move around enough to suit himself for shade.

Yes it's more like 10x20, I realized as I went out there this morning. There will be some type of fence panels across the front. The colt you can see to the left is his pasture mate so they will be happy to be back together. I think it will be OK at least he will be back outside.

Not to take their sides but I know a lot of "old cowboys" that can see a horse back on his or her feet fairly fast. They don't ride for pleasure but as a lifestyle and a wounded lame horse is money out of their pockets. That shed looks great and honestly I'd listen and give that wound some air.
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MLS yes that is exactly what will happen next time the vet comes out, a pow-wow and I will ask the vet to explain the treatment of the wounds. Vet has already offered to "come out and set them straight" about it.

Chevaux, should I respond to you in French?
Yes, there will be fence panels to restrict him to the lean-to. Did you see the shade from the big tree in front of the lean-to? The pic was from about 8 a.m. And I was looking west so that shade won't cover the lean-to. The only shade will be from the lean-to itself after the sun passes over midday. I've got a 40-gallon water trough to put in there so I think it will be OK, as long as be doesn't get crazy with the pasture mate.
Thanks everyone for your input. I don't tolerate barn politics very well and look forward to my colt getting back out to his herd with his buddy.

Thanks for the input. The guys are great in so many ways and I will always listen to them and we have a lot of fun together. But when it comes to medical issues I go with a DVM.
The wounds will be aired out when it's time. We also have a horse with pigeon fever so I really don't want flies on an open wound with that going on.