A CZ 452 Varmint .22 LR can be found on the used market for $500. Forget the Boyd's stock, it is completely unnecessary as the CZ stock is excellent, mount the Mueller APV and for under $700 you have an excellent and accurate rig... if you can't learn to shoot well with that, an Anschutz probably won't help you either.
^this. I've had lots of Savages come and go over the years (93s in 17HMR and in 22WMR) and a few Mark IIs in .22lr. Only the last one I had was actually a bad one, but most have worked OK. The truth is, they just don't stack-up to the CZs. (2 CZs and one BRNO for me so far) To make matters worse, the price on Savages are creeping up while the quality doesn't seem to reflect that. I don't have overly deep pockets but every Savage rimfire I've owned left me feeling I overpaid...and every CZ/BRNO I've owned made me feel I got a great deal on it considering the quality/performance. So even though they cost a little more, you're getting an awful lot more. Like Hoyt says, I'd hold-out for a 452, and probably a Varmint model considering the way you plan on using it. The extra weight shooting from a bench or prone will be an advantage for you. CZ has stopped making 452s, but they come up for sale used often enough, I think there is one in the EE now.
Scopes~I'm partial to Sightron these days, my 452 wears an S1, 4-12xAO and it's great for my needs. They're around $275-$300 now +tax/shipping and I don't know what the Mueller APVs are selling for these days. I had a Mueller APT once and it was a very decent scope for the $. I know the APV models are better-priced, and are held in high regard.
Distance~100 yards is a fair distance for 22LR to be trying to punch paper...AND get super-accurate results. If you're hunting small game...that's different, but there are better tools for the 100 yard game. 17HMR (especially CZs and older Marlin 917s in my experience) can punch small groups @ 100 yards almost effortlessly if you do your part. However, for high-volume shooting/casual target shooting 22s are fun out that far for sure. I generally target shoot with my 452 (22LR) anywhere from 50-75 yards, but have whacked gophers out west at well over 2x that distance. (half luck maybe

) I barely consider 22s to be 100 yard guns for MOST intents and purposes.
You didn't ask.. but this is probably the best photo of my 452 Varmint, sorry you have to look at my mug in it. lol