PCS Hotel Rate Help

Hello,

Was having a little trouble getting a straight answer so I figured I’d come here for some help.

About to hop on a flight to Seattle to stay overnight tonight near the airport so I can catch the rotator to Korea tomorrow morning.

Most of the hotels near the airport are around $200 a night, but all I’m finding is that I would receive around $107 for lodging.

Am I just going to end up losing out on some money or am I missing something for the lodging rates during a PCS?