I'm not far from Keyworth if thats any help ? Its not used much as I dont have a tow car and rely on other people - not sure if this could be any use to you ?
At Nottingham uni your best option is prob the riding club. I dont know what its like because I went to a different uni but had lots of fun in that club. Nottm uni is quite close to city centre so there are not many stables near by. If you had a horse you would prob be looking at 20 mins drive...
There is a place on the A52 between Nottingham and Bingham not sure of the name but can find out details if this is an option, think they have 2 trailors for hire
Full livery Mon -Fri £66 pw includes feed, ad lib haylage, turn out/in, mucking out, rug change, 2 shavings a week - everything but riding.
Would suggest limiting shavings, not including supplements and charging per week not per month. My rate is per month so hence makes weekly rate cheaper !.
I also did my Gold on horseback a few years ago (great fun), we did it in the Brecon Beacons and were based at a stables called Cantref if thats any help !