Few things popped into my head:
First, if limited to weekends, can you hunt Sundays in the state you are visiting? There are still states where you cannot hunt Sundays which eliminates 50% of your time in the woods. Can you hunt all day? Many states have half day hours first half of the season, then all day the second half of the season. Doesn't make sense to travel out of state to just hunt a Saturday morning and quit at noon.
Second, will your trip out of state coincide with opening weekend? May want to avoid the first opening weekend if hunting public ground. Postponing your out of state hunt a couple weeks will reduce public ground pressure and may open all day hunting mid season if its an option.
Third, do as much internet scouting as possible. Google Earth is an excellent tool and its free if you aren't familiar with the ground firsthand.