There are 3,000 colleges and universities in the U.S.; I would wager that even experienced people in higher education haven’t heard of all of them (or even half of them). The University of Findlay is a health sciences-focused school and is also a Christian university. Furthermore, not every student needs to go to a place with “top-notch research” and faculty that are hooked into their specialty areas. Only a small fraction of undergraduate students will even be remotely interested in undergrad research or need it to enter their career fields, nor do most undergrads need constantly upgraded, cutting-edge courses. The vast majority of undergrads need good, competent teachers who keep up with the field a moderate amount but give them the breadth and depth they need to go out int o the world. (Sending a lot of kids to graduate school isn’t necessarily an indicator of quality, nor is the converse an indicator of lack of quality; in fact, a health sciences focused school with combined programs would send fewer students away.)
That said, I don’t think it’s necessarily a good idea to narrow one’s focus down so narrowly and eliminate any schools that don’t fit the mode. BS/MS in OT programs are not that common; the much more common route is to get your BS first and then an MS in occupational therapy. A BS/MS program will save you, at most, a year. That’s not really worth sacrificing the kind of experience you want (and potentially financial aid), IMO, especially since most kinds of schools that have well-developed equine programs are also not really the kinds of schools that tend to have pre-professional combined programs for undergraduates. Also, imagine that you changed your mind - let’s say you decided that physical therapy is better suited for you, or you decided you wanted to take two years between college and grad school, or that actually you really want to be a lawyer. Would you regret having made the choice to go to any of the schools on your list if you decided you didn’t want to be in the BS/MS program anymore? You don’t want to attend a college you’d regret if you do anything to deviate from the path - because you’re supposed to be exploring at this stage in your life.
School reputation does matter somewhat. I agree that you don’t have to go to a prestigious brand-name school or even a school that people have heard of. But you do want to go somewhere with a good quality education where you will feel appropriately challenged. That doesn’t mean prestige - The University of New Hampshire I’m fairly confident fits that. I don’t know much about Findlay, so you’d have to find that out. (I have to say, judging from student inputs and the 55% 6-year graduation rate, it looks mediocre.)