Overall, I think the idea of the rules for the piece is solid. Sounds like a piece that can be fun to play with. However, I would not recommend to use the 9x10 board, but rather just play a bulldog chess game with a new piece. A lot of bulldog games have been played with pieces other than the guard and witch which has been very common recently. Some examples include:
Also, I believe @musketeerchess2017 is trying to come up with a moveset for an eagle that is completely different. It might be good to come up with a different name for the piece to avoid confusions in the future.
When I encountered the ideas of Bulldog Chess with Witch and Chess on an infinite plane, it gave me an idea.
This is Eagle Chess. The piece on the right is called an Eagle. It moves like a Queen and I Knight, and cannot capture enemy pieces. It can jump over its own pieces when it moves like a knight, but not when it moves like a queen. It captures its own pieces, and then places them anywhere on the board not already occupied by another piece. It can capture any of its own pieces. This includes kings. @vickalan @Martin0, what do you think? Would anyone like to try a game?