Yep, I'm with everyone else. I'm sure you could manage it, even without having to count strides. To start, I would have you on a very experience horse, at least until you get the feel of jumping. My mare is one of those that I don't have to count strides with and she hits the right spot, by herself, a majority of the time.
Plus, those times that your horse might not hit their spot is good for you too. You learn to ride the jumps that don't go quite as smoothly as they should.
The biggest thing is to get at trainer who understands what's going on and can help you learn to jump by feel and not by sight. There was a wild idea that popped into my head when I read this thread of what I would do if you were my student. I would put you on an experienced horse, on a lunge line, with cavalletti to start off with and blind fold you. Yep, blind fold you. That way, you're get used to jumping by feel and not by even trying with your sight. Once you were comfortable with that we take the blind fold off and add tiny jumps. Crazy I know lol.