You will probably pay more in either fees or rates because of the low loan amount but it can be done.
We can help as a mortgage broker.
Call me at 2152389400 or email me email@example.com
Fred Glick NMLS #133975
U S Loans Mortgage LLC #51022
Check with some lenders in your area to determine precisely what the figure is, and what you'd qualify for.
Hope that helps.