There are jeep-markings experts out there. I am not one of them. However, as an airplane modeler who's researched this issue for flightline dioramas, my solution is to look at as many flightline vehicle photos as you can, especially pix of that unit, or similar units in that same theater of operations. Attached is an example from the 8th AF in England. On the front bumper, you can see: "8 (star) 398 BG 600" which translates to 8th Air Force MAJCOM, 398th Bombardment Group, 600th Bombardment Squadron. Some jeeps followed all that with an individual vehicle number (one or two digits). The jeep experts have some sort of Ouija board for the serial numbers, but I've no idea how that works. This one is also covered with red-and-white, or maybe black-and-yellow checkers for hi-vis in the stinky English weather. Check out the Harleys, too!
Suggestion: Find some pix of that Saipan B-24 airfield/unit and look for their jeeps. They may have had jeeps in use with all services, SeeBees, etc. You may have some pretty cool artistic license, there. If there's just no data available from AAF Pacific bomber units, then I would default to the 8th AF format and at least call out the unit names you know, for that tribute.