Another plus is the relatively close Eureka Springs area... (For dining etc.) I love that place!
There are some good trails in this area. I would also check out Devil's Den, and the Pea Ridge Military Park (Unfortunately they have closed miles of PRNMP, I used to ride it a bunch when I was a kid.) I love riding out here in the Ozark National Forest, there aren't any specific horse trails, but I like to trail blaze. I've met a bunch of folks since moving here and there are some hidden gems I've yet to explore that we are planning trips for this spring.
The OHT is closed to horse traffic for the most part, several times it crosses over onto logging roads and it's hard to discern where it stops or crosses over. I have friends ride it on mules and they don't have any problems, wish they would open it so we can do it and not get into trouble.
I keep my horses barefoot. They only get a few chips, but if I were going to ride several consecutive days I'd invest in boots for most of this country. Some sharp limestone to worry about, or just take it slow like we do and really pick your path.
Can't wait to hear what you decide on, keep us posted! Want photos!