My fiance was in a similar situation to yours right now and there are just a few things to think about. His son is now five.
He also tried to "make it work" with the baby's mom by moving in right after baby was born. They weren't in a relationship when the baby was conceived and also were not in love. They lasted about five months, and parted on bad terms. She left to be closer to her family, and he stayed to finish school.
For about 2 years, the relationship was really bad between them, and then they started to patch things up. He moved about two years ago (when he finished school) so he could be closer to his son. However, because the baby's mom had had primary custody for a few years, my fiance was given every other weekend once he moved. This can be hard because she doesn't even really like my fiance to stop by during the week to even take his son to a class or activity. He has always paid child support throughout this, and it's about 25% of his income (yeah, daycare is mega expensive!)
This was a consequence of him electing not to have primary custody and finish school instead. Like you, he was weighing options. He definitely makes more money now, and he's able to provide for his son, which is great. We really try to make the most out of all the time we have with his son, but we really wish we saw him more.
As far as future relationships go, know that this type of stuff can be a lot for your future partner to take on. I love my fiance so much. But stressful issues about location and custody have almost broken us up a few times.
Just some things to think about. Do I think he made the right decision by staying at school? Yes. But...do I wish he was able to see his son more? Yes. I think your wish to be involved is really admirable--not everyone has this. But do know that if you move away (for what are good reasons) there will probably be issues similar to ours that come up in the future.
Best of luck to you though! You sound like someone who is ready to handle the consequences of their actions. Not everyone is like this, and you should be proud of yourself for thinking of the needs of your unborn kid.