Giving GnRH and then breeding the next day is not a protocol I'm familiar with but I am also not a synch expert. I'm curious as to the mechanics of how it would be an advantage over giving GnRH to non-responder at time of breeding. I also have not tried 48 hours for non-responders and have stuck with the 72-84.
We definitely don't have money to throw around and have used TAI with what I consider successful results. 80% on 1st group of 23 or 24 and 100% on 2nd group of 20. The 2nd and 3rd years of TAI have been similar but did not hit 100 again and did set up more cows each time. I agree that there is a gap before I see another cycle. However there is quite a bit of of information on the nutrition behind this. If you pull your cows off of grass to dry lot, set them up, breed them, and turn them back to good grass, embryonic death can be more of an issue than lack of cycling. Another factor is when they last cycled before setting them up.