703 is a good enough score
As far as is the income enough, I would need to see what other bills you have and what the property taxes and insurance would be but I am guessing it will be close.
FHA does allow Non occupying co signers so your parents could sign as well and that could help.
Because your situation has a bit of complexity to it, I would say that your best bet is to let someone take a complete application and see exactly what your income is and get you pre approved.
I would be glad to help but I also want you to know that you can do this with any FHA approved lender.
I am an FHA approved lender and I do not charge any fees for pulling credit and taking the application for pre approval.
Bottom line is that your scenario sounds doable.
The Lending Team - Clearwater FL
If your parents have sufficient income, you can use them as non-occupying co-borrowers, but you need to be realistic as to how you are going to make the payments.