A Big Stik might be the ideal plane after training on an Avistar. It has similar landing characteristics and it's quite stable, but more aerobatic.
I fly a very similar plane by Thunder Tiger called the Tiger Stick .40 ARF, and I love to post its picture:
The biggest difference between a trainer and a stik is the elevator authority. The elevator doesn't really look much bigger on a stik than it does on a trainer, but it sure flies differently. You can fly inverted relatively easy and perform inverted turns like the Immelmann and the Split-S easily, as well as manuevers like the Cuban Eight.
Stiks are terrific sport planes and great for learning aerobatics. They also fly well off of floats or skis.
Good luck and good shopping!