This cows on natural prairies idea is pretty much bullshit. Unless you are talking about some maasai tribes that bleed out their cattle for protein shakes. Cattle farming is huge agricultural business. And for most people their meat is farmed (with additional inputs).

Europeans decimated the Americas for their corn fed fatty marbled cattle. The rainforests are being cleared for soy, as with most arable crops a high percentage are grown as animal feeds. So there isn't any escape. Eating a cow has collateral damage too.

Take a fraction of those arable crops, don't bother meat farming and move over to better farming methods that are more in tune with nature. It's a balancing act.

If you haven't any ethical qualms about meat eating then you can still farm those fringe places pastorally - reindeer, goats, kangaroos etc.