As fellow Navy who is UPS, 737 type only.
Get Masters for airline career backup and Navy career enhancement if so inclined.
UPS/Fedex is suited for Navy, the facilities are similiar. You will notice many industrial similiarities and would be used to the environment. (Very utility oriented). However, they both provide many choices on lifestyle like most airlines. Advantage: They make money and give a more stable career over most flying companies. Reality is that you would likely assimiliate at any airline and find the positives that work for you. At your point, I would consider UPS/FEDEX/SWA/Corporate/Fractional. Can always move around and refine choices as you get within 12 months of leaving Navy.
Also, recommend you strongly consider Navy Reserve or transfer to USAFR or ANG. Continued service provides many backup options in addition to leveraging all the time from AD into a another brick in the pension/medical plan (options) when you turn 60. Welcome aboard!