I stayed in dorms at a state university while I attended community college - they had an agreement.
It would have been less expensive to live in an apartment, but the environment was totally based on higher education, so you have that.
Check around to all of the community college programs. See if you can obtain admission, and investigate alternative opportunities.
I always suggest that a person should pay for school out of their pocket as they go. I do not like loans for education, because as you are starting out, trying to get the career moving, the debt repayment starts - and you will have additional expenses to deal with.
If you are in a tough spot staying at home, but you can find work and opportunity near a community college, you may find your opportunities increase tremendously.
I always recommend using the community college, then the state school - I have yet to see anything more affordable.
On the "quality of the school:" If it is a state school with resident tuition rates, then it will be a good school. The emphasis is going to be on you, the student, earning the good grades.
Your grades are going to depend on how much effort you put into the program. Grades are important for transferring, but if you use a state community college, you should be able to easily transfer to the state university.
Seek out the guidance counselor at the closest community college, they should be willing to assist you in fine tuning your goals and the best way in which to achieve them in an effective and affordable fashion
Best wishes for much success, always!