Re: Shooting on a budget
You might want to put that $800 away and wait until you have enough for even a budget build.
Even if you went with a Dicks sporting good ADL varmint and a Midwayusa Weaver 3-10x40 mildot, you still haven't enough for a good stock, trigger, rings, base, bipod etc.
$800 will get you a nice Remington( 700 AAC, SPS-T. SPS-V), Tikka Varmint in 223, or close to a Remington 700P. Rifle only.