Hmmm... my problem with classical bulldog is promotion of bulldog. I have an idea, bulldog promotes to BULL!!!
The bulldog was originally designed to be a "weak" piece. Not doing much in a game - just like a dog wandering around with not too much interest in the battle. The board is already bigger than normal chess, so it's not missing any pieces. It's just different enough so that engines can't play it, and there's no opening books.
But new promotion rules for the bulldog can be interesting. It might be something interesting to try. Someday I would even like to see a bulldog reach the 8th rank. Another idea is to promote from bulldog to pit bull.
Bj3