They are basically the same rifle as far as action/barrel are concerned. Here are a couple of things to look at.

Advantage LR Hunter - Comes with on/off muzzle brake (cost $90 separately from Savage)
Disadvantage LR Hunter - muzzle thread is 9/16x28 so aftermarket offerings are hard to find and $100+; same thread on 110 classic

Advantage Tactical - comes with 20 moa EGW rail (cost $40 separately)
Advantage Tactical - (double check me on this!) muzzle thread is 5/8x24 so aftermarket brakes are easily found and cheap.
Disadvantage - since it's gonna be a hunter and target, finding an on/off type muzzle brake or taking brake on and off all the time may be a pain, but call Savage and see what they offer
Disadvantage Tactical - Magpul AICS mags are $35 for a 5 rounder for hunting
Disadvantage Tactical - you may get bolt drag across top of mag which will require some honing down of mag top with fine sandpaper, but not that big a deal.

Oh, and check with Savage, but I think the 26" barrel on the LRH includes the length of the brake, so It's really a 24" barrel. But again, double check that with Savage.