Just because you could commute to Leicester, does that mean that you actually have to live at home if you go there? Will your parents only top up your loan if you *have* to move away?
First year ccommodation at Leicester looks to be (on average) cheaper than Nottingham, and you will get a higher level of maintenance loan living out, even if not by an awful lot.
As you recognise, the 'full student experience' is there to be had at Leicester as it is at Nottingham, plus Leicester has the course you prefer - and at the end of the day, you are actually at university to study, so choosing the course you want to do would seem a better idea?