Thanks for the reality check. I would have a hard time finding rings and bases for under $100. Hmm.
My point of this post is not intended to be rude or uppity. My point is you should really consider the amount of ammo, time, frustration, lost game one can have chasing zero or accuracy with sub par optics.
The test: Put your optic on. Sight it in. Get 2 boxes of ammo for this test. Shoot 10 rounds from a box of 20. Keep the target. Take it hunting, let it ride in a soft case in the bed of the truck, just use it without excessive care and over 1-3 months time. Shoot the last 10 rounds the same way into a bullseye. Compare the targets. Did it move? How much? Calculate the move back to zero. Dial that move in. Shoot 10 more. Did it adjust back to original point of impact? The point is, most “cheap” optics either don’t hold zero and/or don’t dial precisely.
There are options. Iron sights are pretty good to 100 or even 200yds with practice. There are some good red dots from $100-$200. Often mounts are ~$50.
Optics marketed as 3-9x32,36,40 often sell normally for $25-50 less. These also have the biggest discounts.
Warne mounts are not cheap, but they are reasonably priced, precisely made and reliable. Leupold makes some decent mounts. None of their decent mounts involve twist in rings. Sorry, you are just being setup for failure with those, IME.