This sounds tough for you op, but unfortunately, I don't see that you have any other option. You can't force your partner to stay with your mum. If she's planning to breastfeed, she won't be able to leave the baby. Even if she's not breastfeeding she probably won't feel able to leave the baby at this stage. So, you will either have to put up with her family for a week by going to where she will be staying and staying with her. Or, you can travel hours each day to see the baby. That isn't impossible. It's only a week of your life. You can get on with your assignments ahead of time and work with your college to make it happen. You sound organised, so I think you will manage that. Colleges will usually work with students in exceptional circumstances like yours.
It would be lovely if you had your own place of course, but circumstances being as they are, you don't. That's really unfortunate, but can't be helped now.
Fwiw I can't imagine anything worse than moving in with my mil immediately after giving birth. It's a very vulnerable time for a new mother. She will most likely be in pain, bleeding heavily, trying to establish breastfeeding, (which involves a lot of sitting around with your breasts out). Even if she isn't planning to breastfeed, she will have very leaky breasts as they won't get the "we're not breastfeeding" memo iyswim!
It is a shame for you that things aren't as you would wish them, but that really is down to you not having your own place. It isn't your fault, but it does complicate matters. I honestly think, in these circumstances, her needs have to trump yours.
On a side note, re her family; you will all need to find a way to get along civilly. You won't be able to avoid each other, as presumably your partner relies on her family for support, as she wants to stay with them after she gives birth. They are allowed to dislike you. They don't have to think you're wonderful. But they should be able to remain civil, even if they aren't especially chummy or nice to you. I think you will find you will be able to suck it up if it means seeing more of your baby.
Bear in mind that you need to maintain a passable relationship with them and that they will be livid with you, (and actually, I think they would be right), if you try to pressure your partner into doing something she doesn't want to do, just after she has given birth to your child. That would be a terrible idea!
Best of luck to you though, with fatherhood and your college course
. Exciting times for you.