Eli Alaimo
https://ealaimo.itch.io/dirt-eaters
A rally racing dice game, in which players take turns defining “terrain” they must traverse and spend judiciously out of a finite dice pool to pass it. A little more bookkeeping than I'd prefer, but it might work well digitally.
While playing I noticed that the spin-out risk (having more than half your dice come up 1) is much higher on odd numbers; confirmed this later with anydice.com.
On the other hand the likely number of “hits” increases smoothly as you add dice, stretching a nice ordinary bell curve.
So generally you're much safer bidding an even number of dice.