2/0 Copper is way more than needed. Are you going to feed from a breaker in the house? 2 awg copper is probably enough 1 awg copper is plenty. Aluminum 1/0 or 2/0 is plenty. The old school taught us increase 1 size for 300 feet of wire.

If you don't have to pay for utility poles etc Ironbenders advice is solid. If you're going to trench for communications probably better off doing both.

Good luck and shoot straight y'all