How well does the 300 shoot?
Do you reload?
Hunting and target shooting go together like hand and glove. Target shooting is nothing more than shooting to verify drops, zeros, etc.
If she shoots at least MOA and you don't reload. Start reloading.
If she doesn't shoot at least MOA and you don't reload either pillar and skim bed the stock or get a better stock and pillar and skim bed it. Of course free floating the barrel.
Don't become a shootermatic and burn out the barrel fiddling around. That thing doesn't have the longest life expectancy but it is decent.
If you simply don't like the gun then shop around on here for one that may please you.
This one looks like fun: Note be cautious of single digit posters....
http://www.longrangehunting.com/forums/f25/bench-300rum-sale-trade-104129/
Quality optics trump rifle expenses.
I'd say your goal is to get your current rifle shooting 1/2 MOA and preferably less. Or purchase something that does.
You'll find that your current rig is a sufficient cartridge for anything you wish to do. Both accuracy potential and long range hunting. Validating drops to 1200 or so is good as target shooting gets.
Spend your money wisely.
Just some tho'ts.