One option to consider is Liberty University using a remote flight school near you that's within their program. Multi-engine course will get you access to ~$7000 in flight costs plus BAH.

-Sign up for at least two courses to get the best bang for the BAH.
-If you want to hold onto as much of your GI bill as possible, they might offer accelerated (8 week) courses instead of the standard 16 week semester. That way your GI bill only gets charged two months worth.