I had a couple more thoughts but they seem to have disappeared, so here we go again:
The gifted program in your new district (4th to 6th grade combined classroom) sounds very interesting. In such a setting, it sounds like it would be feasible to correct for grade, so whatever you decide for this year would not be set in stone. Can you meet with families who are currently in the program, find out what type if kid it serves, what experiences they have had with accelerated children and what happens in 7th grade?