Every time I've ridden with a UPS crew, they've been more than happy to share their crew transport and drop me somewhere close by(parking lot, terminal)....Just ask politely and you probably won't have a problem.
Nine times out of ten it's been offered before I could even think of asking....UPS is a class act.
If all else fails, hop on Kalitta out of LAX. We go to HNL daily and I know our guys will have no problem dropping you at the terminal.
Good luck.