Any precision shooting or scope experts here willing to weigh in?

Setting up my new hunting rifle and would like to set it up properly so I at least know that I am the issue when it comes to accuracy, and not the rifle/scope/set up. Budget friendly hunting rifle set up here but want to set it up correctly and the best/most accurate way possible. Rifle is a Weatherby Vanguard 7mm long action. Just purchased a Vortex 4-16 x 44mm FFP scope. My question is should I go with a picatinny base then rings or should I look at these rings that mount directly to the gun. See link: https://weatherby.com/store/weatherb...-scope-mounts/

Seems like the rings that mount directly to the gun eliminates more areas for tolerance issues/failures, etc. Or do you guys suggest going with a picatinny rail, rings, etc. Thoughts?