Definitely try an AccuTrigger or one that has an AccuTrigger knock-off. Love the AccuTrigger on my Savage.
P.S. even though they are a very accurate shooter... shy away from the Remington 783. My .223 I got from them sometimes has issues with an extra shell popping off the top of the magazine when you're working the bolt when the magazine is fully loaded. The cure seems to be to not load the magazine all the way full. Keep it with one round less. Like if it's 4+1, you'd instead pop the magazine in there with the 4 and observe loading that top one into the chamber to make sure that went ok, and leave it at that, 3+1. Also seems to happen more when they are nice slick Nickle plated cases. Just wanted to make sure to share that info.
P.S. Recommend getting those Cabelas Kwik Stix, shooting sticks. Very lightweight, tent-pole kinda design, easy to quickly assemble quietly. Have used them to have all kindsa fun popping Grey Squirrels and Rabbits at 80+yds with .17 HMR. Furthest has been 92yds. and hit a bottle at 200yds with them too. Get you a Havalon replacable Scalpel blade knife and learn how to do the gutless method of field processing a deer. And be ready for the "meat bees" the Yellow Jackets that come in to the kiil as you begin processing him. It'll freak you out at first, but then you realize they really don't care about you, they just wanna get at that meat. I've learned to skin-as-I-go and leave the hide on until I'm ready to process the next area so as to minimize he amount of exposed flesh to attract them. And if you have to gut 'em, make sure to throw those guts a good ways away from where you are working at to draw them away from where you're working at.