More like Stratego than chess
Good game overall. I'm generally not too big on games where your strategy has to be helped out by your luck, and this is definitely one of those - with a run of bad reveals (the computer getting king and queen out early, for instance) you can very quickly wind up low on pieces. I guess that's why it's best 2 out of 3, though.
There's also basically no advantage to being the one doing the revealing - it wastes a turn, and doesn't influence the piece selected, so I found that moving around, even meaninglessly, and letting the computer do the revealing worked best.
I think the stalemate rule should only kick in once there are fewer than 4 pieces left on a side. Until then, there's always a way to trap down.
Again, good stuff - simple to learn and fun to play.