I understand that you and your mum may wish to bond further and it could be like Lorelai and Rory Gilmore (from Gilmore Girls) and I think that's great. However, as mentioned above (albeit with more elaboration) you may wish to find other ways to connect more despite the distance.
University is not only about maturing the mind but shaping us into young adults who are working to be more independent but also more responsible.
Let me explain; if this is the first time you've stayed without your mum in a new place you may want to ask her to stay during the first week. When we're with the people we love, 1 day can easily become those 3 days and before you know, it could be a regular thing.
Now I'm not going to say that you're going to be made fun of or teased because some people may have disabilities and really appreciate that extra parental support when they need it (each situation is different and your resident peers may be very understanding) however it doesn't necessarily allow you to grow to the best of your potential.
It becomes a bit more like home, and while that is a great thing, the comforts of home cannot always be there when we need them, otherwise we find it really hard to function when they aren't there.
As well, you may also spend more time bonding with her than people in your faculty or age group.
Considering this from her perspective, while initially she may love and be quite willing to get on board this plan, after a while, as you become more accustomed to university, she may feel more left out and lonely, despite the fact that you guys are probably planning this to avoid that.
You may find you don't have enough time to spend with her due to midterms or finals, or that you can't explain every one of the things about campus life that you'd like to share (because there are more of them than there is time in the day) or that your friends may demand your time or classmates may (for group projects) causing her to feel uncomfortable and out of place.
While the final decision is yours, I would advise finding alternative ways to spend the time together. Go out for dinner regularly and plan shopping trips (or just window shopping in this economy) and maybe a movie.
There are lots of ways to connect with each other without entering a very delicate situation such as the one you've described above.
I do understand it from your perspective and I admire the strong relationship you both have, but it may not be in your best interest.
(And about people laughing; while university is a more mature place and I wouldn't want to intimidate you or anybody else reading this - there are dumbasses in every corner of life who laugh at things like people getting blown up and crippled individuals. If they exist in any situation, they will laugh tastelessly at things that don't really concern them and never will. If they don't, we should count our blessings.)