find a saddle that will fit you and fit your horse, You may go through a couple till you find a match. You might find a stock saddle (Australian) is to your liking. Just make sure you use some wither tracings and get one that fits and not just a generic, "medium" Endurance saddles may be to your likeing also. As far as the bitless bridle? Leave them at home, they are for riding around in familiar territory at best.
I know people put them on, ride around the house an few times, and the horse acts perfectly,,, and they do work under ideal conditions, the problem comes when it isnt ideal, You just dont have the WHOA in them like you do a bit. There is nothing a bitless bridle can do that a bit cant. And a bit can give you the emergency brakes if you need them, lots of wierd things happen on the trails, trees fall, deer jump and run, people on bicycles freak horse out sometimes, women jogging pushing baby carriages can be spooky as well, you'll see just start with your normal tack, all you need extra is a water bottle and a first aid kit.