Sell the Rem, take the money and find a beat up old Savage 10 or 110 depending on if you need a short or long action for your new cartridge selection. Order up a barrel from Kreiger (yea they cost more but only a few boxes of shells more) and take it to a MACHINIST gunsmith. If they don't have a full size lathe and a mill that look like they get used regularly, you have the wrong guy. There are fantastic smiths out there that can do a perfect bend on a Purdey shotgun stock that I would not let do a crown job on any of my rifles. Order up your stock, bottom metal and trigger and you should have a sub .25 moa package once you find the load that is in one of the harmonic nodes. Oh, float the barrel, bed the action and use the biggest/thickest recoil lug you can find. Make sure that you hog out the bedding on the muzzle side of the lug. Torque the front action screw down and snug the rear (Savage). Last 2 that my guy did for me shoot sub .15 on a 7mm Mag and sub .20 MOA on a 6.5 Creed.
If you are set up for loading 7 Mag and like the round, stick with it. You can find a low pressure node around 2600-2700 fps with a 162 grain bullet and another node a little over 3000. That low pressure load lets you do all the shooting you want out to a thousand without burning up the throat and the high pressure will get you to nearly a mile with a good high BC bullet. Don't listen to that crap about the short neck on the 7 Mag being a problem, the short neck releases the bullet more consistently and is easier to get the runout down. (Lee Collet neck dies are the the cheapest piece of crap sizing dies out there but they are hands down the beast neck sizing dies on the market.)