Make sure you read up on all the issues of accurizing tha Handi before you write the 243 off. Some are a bit more particular than others, just make sure you try different bullets, powders, andf bullet weights as well.
Most 243's and 223's seem to favor the lighter bullets, such as the 85-95gr bullets in the 243. The Federal Fusion has shown some real promise.
Keep at it.
By the way, it wasn't a dumb question. A LOT of dealers don't know the difference. I've heard them tell customers that all the frames are shotgun frames. Some have also tried to tell people that you have to send it back to the factory EVERY TIME you want to switch barrels that have already been fitted.
Glad I was there to set them straight.