I live in a big city where theres a lot of hospitals around to apply for jobs. But with today's economy, a lot of my classmates have relocated or have applied at further hospitals just so they can start working or gain some experience. I have friends who works 50 miles away from their home. They would rent a room monthly and stay there for three days straight and come back down to spend the rest of their 4 days off at home. And after 7 months of experience, some are going back to school and applying to hospitals in the city.
I say go for it. After you're done with your 12 hour shift for the day you'll be tired and would just want to rest anyways. Any experience would be great. You're not alone. A lot of other new grads and experienced nurses are commuting to work.
Congratulations on your job!