Paul,
You can set up an RCRG pretty much any way you want. The competition birds
are purpose built for the 24mm case and E6 motors. The FAI World Space Modeling Championships hold S8D for the juniors and S8E/P for the seniors. S8E/P is E-impulse radio controlled rocket glider with precision landing; 1 point for every second up to 6 minutes, then minus a point for every second over, and 100 points for hitting the landing target, with decreasing score out to 10m away, which is 0 points for landing. (The WSMC was just last week; the U.S. Junior Team took gold in S8D, and one of its members took individual Silver.) There is a 1m or better span requirement among others that elude me at the moment. Point is, most competition style high performance RCRGs are built to fit the WSMC requirements.
On the flip side however, what you can imagine, you can do. Aerotech makes two casings specifically for R/C: the RMS-RC-24/20-40, which houses the D7, E7, and E6 (20, 30, and 40 N-s respectively) Blue Thunder endburners and an E12 blackjack and the RMS-RC-32/60-100, which houses the F13, F16, F23, and G12. There are also some nice Warp 9 endburners coming out in the high power side, such as the I49.
Many of the RCRG's I have seen are simple elevator/rudder birds. I have also seen a few with a flap or spoiler. That doesn't mean, however, that you cannot set one up with flaps, spoilers, ailerons or any other mechanism you desire.
With regard to the tail, I have flown aircraft with a simple elevator/rudder but the rudder inverted, and seen both standard and inverted v-tail.