Somehow I completely missed the bit about her going travelling for a year before starting uni next year.
If she chooses to spend her savings going travelling and then comes back to go to uni and has no savings, that is her choice.
I cannot believe that you are even considering selling your house because she has decided to spend her savings on travelling.
I think that you need to sit down with her and calculate what she is likely to receive as a student loan (from 2016-2017 figures), find out what the likely accommodation costs will be and make her clearly see how it is.
TBH it sounds like she doesn't really have much of a clue with regards to the finer details of the student finance system.
This morning I worked out that if my son goes to uni next year he will obviously need to get a loan to pay the fees but if he lives with me he would get a maintenance loan of £6,904 (about £165 a week) or £8,200 (£195 a week) if he lives at uni.
What he needs to decide is if it is better for him to restrict his choice so he can live at home and pay travel expenses out of £165 a week or whether he could pay his accommodation and living costs out of £195 a week.
It is so complicated but it makes sense to start thinking things through early.