So your best bet would be finding some type of partner (parent, older sibling, relative, etc) that could bring the money/financing to the table and you could bring the deal.

Find a purpose (read Start Something That Matters by Blake Mycoskie), create a business plan, find a property (create a Pro forma) then ask your parents if they will invest with you (if that’s not possible, keep saving!) 

Our home in Texas is now occupied (rent free) by my husband's parents, whom he is supporting financially.As we have been speaking to lenders we have received quite different rates and terms, which did not seem within the common range.

If I and my cousin wanted to "buy out" my disinterested cousins/siblings, is that something we could do now, or is it something we'd have to do later, since our parents are the true owners right now. 

I am in the process of trying to buy a triplex in the east coast town I grew up in to be closer to my elderly parents.

I do plan on going to college at the University of Utah as I have excelled at school and am going to pay for college with scholarships and parental aid.

It sounds like the parents just don't want to be the heavy when it comes to their son.What does your state say about unauthorized occupants and their rights, if any? 

Also, find out how much traditional on campus boarding costs... its a good indicator on what parents/students are willing to pay.Student rentals are great investments but not for the faint of heart!

However, my rent will disappear as I will be moving back to live with my parents while I try to look for my own property.

With holding under 2 years, you have to find something with meat on the bones.