Also, that rifle is about $1300. The model 10TR is about $700. I figure $700 for the rifle, $700 for glass, $100 for a brake, $100ish for rings and I'm good to go. I realize I won't be using walmart ammo. That said, inside 300 yards should be fine for it. I'll use match grade down the road. For all I know this will lead to reloading ammo.
It's funny that so many people like Savage yet there are SO many remmy 700's out there.
Lots of great info but I think things are getting ahead of what you have in mind and your budget..... The Savage 10TR will do just fine as an entry level shooter and will give you plenty of options to change/upgrade in the future. I would bed the action and stock for sure. Get it done properly... it matters.
From there, do add a muzzle brake. Any gill style with large side ports will do.. DLASK makes a nice unit for a fair price. Don't get hung up on all sorts of tech... they do the same thing and are noisy. Recoil is not your friend.
The included base is just fine. I would suggest Burris Sig ZEE rings to set up the scope... but there are plenty of other rings that will do the job. Don't get the cheapest as they are likely going to wear and loose scopes will drive you nuts. If you find you are shooting alot, consider a steel rail for piece of mind... .but that is down the road.
For optics, Sightron SIIB or SIII. It will be above your budget but these are scopes you will keep and use and want to use. I lean towards the LRMOA reticle for its ease of aiming and utility. Scopes with poor optics and mechanicals will make learning and shooting LR a less then enjoyable experience.
You may need an adjustable comb to be added. If shooting prone, you may find a taller mounted scope more comfy. I can offer Tacpro. Simple to install and works.
You will need to reload. LR precision shooting really needs properly tuned ammo that suits your barrel. I compete with Berger but you certainly don't need to spend that much at this time... Hrn and Sierra make wonderful bullets that will easily make the trip to 1000yds. Can help with the set up of all of this.
Given what you are asking and where you are, all the competition stuff is great but may not be what you want to spend or need. Does it work, of course but...$$$$
Anyways, you need to walk before you run. Spend more money on optics and reloading... this is what will give the highest return on your investment.
YMMV.
Jerry