Do what interests you more. If driving and fighting the ship, being on a boarding team, manning a console in CIC sounds like something you'd enjoy doing- go SWO. If handling logistical problems, keeping everyone fed, paid, working in the HCO tower, sounds more fun/rewarding- go Supply.
Asking everyone what they would do is pointless because we're not you. Most people on this board think both jobs sound boring as shit and would rather fly...AIRwarriors...
Just an observation from cruise, the supply officers seemed almost like outsiders in the wardroom. Assuming you go to a small boy first, there will be a bunch of SWOs, a bunch of pilots, and 2 JOs from Supply in the wardroom. It's not like they're outcasts, but everyone else is working on something else. If you go to the ship as a 1st tour Supply officer, you'll be the only first tour chop onboard as opposed to going to your first ship/squadron as a URL where there are a bunch of 1st tour JOs.