I would never ever knock a 722 they are a best buy if you can find a clean hardly used one. Many good old school BR rifles built on that action. I have a 721, I gave to my son and it's a shooting fool. Believe it or not I would take a 720 series over the newer 700's. I think they are built better ( not as pretty), and you can find them for cheap and use as is, or have a donor for a new barrel. That little 222 in it's day used to be the caliber to beat until the 6mm's came about. They can be extremely accurate. If you can find a good 722 in 222 not all shot to pieces I'd jump on it. I don't know a whole lot about the 222 mag, seems like a cool caliber, I'd still opt for the regular 222 only because you would primarily use it for 100 yds. A good friend has a really nice one and won't part with it, darn .
Scopes given what you are doing a variable will work as long as you get a good one. Might look at Sightron fixed powers. The old Weavers were very good in it's day, I think now if not mistaken are more into the higher power fixed and I don't know how good they are. A really good scope is a Vortex Viper 6.5 x 20 x 44mm, I have one and it's 30 mm tube, re-setable no tools zero , very clear and it tracks, and they are not expensive around 400 or a little less. I like it a whole lot, mine is a mil-dot for long range, but they do make it in a target dot. That's one I would really look at.
Another rifle often over looked is a Remington 788, no longer made and will beat the pants off most 700's, Yes they are an entry level rifle and look like a club, probably needs a timney trigger although I do well with stock trigger. These rifles flat ass shoot and one of the reasons remington discontinued them they were out shooting the 700's, they do have a few weird things about them one was the safety not being cleaned and maintained. Easy fix buy a Timney trigger with bolt stop & safety which you should probably do anyway they didn't have the best triggers, but overall if it's in good condition these rifles can be tack drivers. They have 9 rear locking lugs, stiffer than a 700, and prices are going up every year on these. I have one in 243, it's scarey accurate and extremely consistant. One problem with them is use high rings at least in the 243 the ejected shell will come up and hit the windage turret, not a big deal use higher rings. I coud see you showing up with a 788 and beating the pants off some guy with a 2 K set-up. They did make a short barrel and longer barrel get the longer barrel. I have never seen one yet that didn't shoot that was in good condition.