What Travis said "More weight, less speed". That H110 load seems hot to me. It may not damage Fluffy, but why chance it? I would almost guarantee some flame cutting of the top strap.
I think this seems to be the consensus.
I recall loading up some 180 grain JHPs that I had acquired somewhere. I don't recall where now. They were screaming in my 5" Classic and 6.5" guns. Muzzle flash was a bit sporty at night or dusk.
Velocity was in the mid 1800s as I recall. If it was not for the muzzle flash, at the time I thought it would make an interesting personal protection round. At that speed, a .44 caliber round that rapidly expanded would be quite a thumper.
Speaking of "Thumper", I ended up shooting all of the 180s at Jacks. As it was, they were just too messy. They eviscerated them, blowing pieces and parts everywhere, as shown here:
In the end, I went right back to the basics, shooting cast bullets. 240s/250s and 300s/310s. They just work. Plus for a guy who shoots often, they are far more economical.
THE CHAIR IS AGAINST THE WALL.
The Tikka T3 in .308 Winchester is the Glock 19 of the rifle world.