1150fps is hardly pushing it for 10mm. You quoted BB for 45acp. Their 10mm is over 1300. That’s where I got my data. I’m not saying it won’t work, I’m saying there are better options. It’s a fact you will lose more deer hunting with a 45acp.
A 180 projectile going 1150 fps out of a 10mm isn't more than an 185 grain out if a 45. At 1150fps
I have hunted exclusively with a handgun for the last 25 years. I have taken deer with 10mm, 357, hot 44 special, 45acp, 44mag, 454 and 500.
If you shoot them in the neck it's over. Which is where I like to shoot. If you puncture both lungs they going down. If you can't hit the vitals or the neck at the given distance you're hunting you shouldn't be hunting with a handgun at that distance. The spear Volume 14 reloading manual shows for the 10 mm 180 grain projectile speeds anywhere from 1099 to 1295. I would venture to say that 185 grain 45 caliber bullet traveling at 1150 feet per second is in that range