Plugging 110 gr bullets into the equations, Powley’s internal ballistic calculation confirm that powders in the speed range of RL15 would be ideal. (Theory meets practice. See below.). That means powders like N540 and H380 would also be appropriate.
If those don’t suit, try slightly faster powders like those in the range of Varget and 4064, or slightly slower like H414 and N150. Somewhere in there you should find handloading nirvana.
Regarding seating depth. 110 gr bullets are short, but I think you’ll be able to seat to 2.800” while still maintaining a seating depth of at least one caliber, i.e. 0.284”, or close to it. How short is the Speer TNT? I'm assuming just a hair over one inch.
External ballistics will be okay but not great. That bullet is just to light and stubby to really shine. Nature of the beast. If you zero 2” high at 100 yards you’ll be less than 2” low at 250, 12” at 350, and 20” at 400. At least, according to one ballistic model (YMMV).
Terminal ballistics on small varmints, with that bullet, at those velocities, should be explosive. I doubt you’ll ever recover identifiable fragments. Either of bullet, or the target animal.
