Honest question but why bother with GUE rec fundies in single backmount when you ultimately want to dive TDI tech sidemount? It just sounds like time better spent getting even more comfortable in sidemount. If I was in your position, I'd find a competent sidemount instructor and do tdi intro to tech with them. Especially if you want to continue with TDI for tech classes, ITT revises all the fundamentals required for your AN/DP such as buoyancy, trim, finning, smb deployment, mask switch etc.
If you really want the attention to detail from GUE, there are TDI instructors who have taken GUE fundies/are GUE instructors. I'm sure they'll happily teach the GUE curriculum in your TDI intro to tech course.