Post-Mortem:
My mechanic used a punch to remove the four head-less rivets (I'd drilled out the first one, it took forever!). He purchased rivets locally, though they're a size larger than the original - I think 5/16ths versus 9/32ths - so he just drilled the holes out some.
Then, he created a jig to hold the wheel upright on the workbench. He placed a 4x4 block in the inside of the wheel, and a small bottle jack on that. The head of the bottle jack happened to have a dimple in it that matched the rivets (close, anyway), so he put the rivets in, used the jack to hold them firm, cut the tails down some (too long from the store). Then he fired up the gas wrench, heated the rivet up to red hot, and beat the snot out of it with a hammer! A little clean up with a grinding wheel, and done! Went very smoothly.
The replacement rivet heads are a little larger than original, so a show-restoration wouldn't approve, but the same size could be found with a little research, if needed. Worked great!
Thanks all for the help and support, as always!
-Michael
