The only 410 brass I have found was 2" brass. If you had a good supply of 3' brass, a bp rifle would be fun.
In the 1950s, I used 2" Alcan 410 brass filled with 3f and .44 lead ball in an old 410, and it was great fun to shoot but really not a "tack driver" (unless the tacks were really close).
I think a 375W or 444M would be great. You could shoot bp for fun and likely deer hunt with bp loads. Using bp, both should be similar in performance to a 360 bpe.