You can use FHA. Like others said you'll have PMI though. You can also use a second VA loan, but there are dollar amount limits, just talk to your lender. For FHA, here are the stipulations for military out of HUD 4000.1:
"(7) Military Personnel Eligibility
(a) Standard
Borrowers who are military personnel, who cannot physically reside in a Property because they are on Active Duty, are still considered owner occupants and are eligible for maximum financing if a Family Member of the Borrower will occupy the subject Property as their Principal Residence, or the Borrower intends to occupy the subject Property upon discharge from military service.
(b) Required Documentation
The Mortgagee must obtain a copy of the Borrower’s military orders evidencing the Borrower’s Active Duty status and that the duty station is more than 100 miles from the subject Property.
The Mortgagee must obtain the Borrower’s intent to occupy the subject Property upon discharge from military service, if a Family Member will not occupy the subject Property as their Principal Residence."
I'd do another VA loan before using FHA personally. PMI sucks. But the option is available if you want/need it. Like VA, there are stipulations for condition of the house though, working windows, appliances, 2 years left on roof, etc. Talk to your lender!