OP, this is my horse to a T. I went through this entire thing last year. Around July, he started to slip behind. I chalked it up to the very hard footing from the very dry summer we had and most likely foot sore. In August, he added in stumbling in front. Whenever he had the opportunity, he would switch behind at the canter on the left lead. At no point did he show any outward sign of lameness. He still loved trails, jumping, galloping in fields, etc. You’d never know there was a problem until the stumble.
Vet #1 thought it was hocks, so we did those in September sans xrays to confirm. It made zero difference.
Vet #2 could not find anything obvious. He suggested bone scan which was well out of my budget.
I read somewhere that if a horse prefers W/C to trot, it’s a stifle issue. If he prefers to trot instead of W/C, is a lumbar/sacral issue. I had already had his teeth done, saddle fit checked, massage and chiro done, and the stumbling was still happening. This was a very well muscled horse who could come straight down hills like there weren’t there suggesting this was not a weak stifle thing. On an educated guess, I asked the vet to inject his SI in November. From there he recovered very slowly but completely. After about 3 months, I had a ride where I realized I forgot to worry about him stumbling.
I thought this was all in the rear view mirror. I’m sad to say, he has recently started to swap behind again. Hopefully it’s not the start of this whole thing again. Do yourself a favor and don’t throw money at every theory out there. You’ll go broke fast. Your problem is anywhere between the hocks and SI, and could even be in the neck. (I forget where, but it’s on the table as a possible cause). Good luck in your diagnosing. I hope you find it sooner than later.