1. You want a "woods gun" capable of taking cougar and black bear;
2. It must be a Glock pistol; and
3. You are wondering which round would be most effective against critters?
While energy isn't everything, against critters it is still the way to bet.
The formula for kinetic energy is 1/2 mass times velocity squared
Your own ballistics numbers point the way -- the 10mm muzzle energy value is nearly half again as much as the muzzle energy value for the 45 ACP.
Given that you MUST carry a Glock pistol, chambered ONLY for one of those two rounds, IMHO the 10mm is likely going to be more consistently effective against wild critters...especially wild critters that may try to harm you. (Not that that is terribly likely to occur...)
If you reload, it will allow you to come up with effective 10mm rounds for range and CCW as well...
Just my opinion, for what its worth.