a couple ways you can go, for big game you can do a scope with holdover points or use a CDS or turret style scope. I use my scopes for coyote hunting
so I personally prefer adjusting a turret with a zero stop. because I am trying to hit a small target. for me right now that is a CDS 3.5-10x40 on my 270 win, and a modified mark 4, 4.5-14x 40 TMR reticle and zero stop. the mark 4 would be alot better scope if I had more FOV on the low end, thats its main shortcoming.
or you can get a ballistic reticle scope. I helped a buddy get setup with his 308 for an elk hunt, he had a vortex diamond back with their BDC reticle, while its not a scope I would pick or recommend, before the day was out he was drilling my 12" steel gong at 450 yards. the hold over points IMO work fine for a large target like big game out to at least 500 yards. and honestly thats probably the furthest an unskilled shooter should be shooting at anything at.
for a simple setup I am a big fan of the bushnell elites. perhaps one of their scopes with BDC reticle might suit your needs.