What 'transferrable skills' are you looking for?
If you're looking for basic hands-on trade skills, then enlisting is the best option for you with a rating that ends in T (IT, ET, ST(G/S), etc), MM, AM, or EM. Engineering rates are more maintenance heavy and weapons/navigation rates are more operations heavy.
If you're looking for some basic management experience, then officer is better for you. Nuke, supply, and aviation have more specialized skillsets that are 'transferrable' than SWO.
Nuke will give you some operational experience that can be applied toward utilities (and maintenance on the enlisted end), but outside of that realm few people seem to know (or care) about what being a nuke entails. You tell them you're a nuke and they think you work with nuclear ballistic missiles. So if you're looking to nuke for transferrable skills, be sure you want a future career in that industry; otherwise, you're doing a lot of extra work just because you're masochistic.
What you do in the Navy as a 6-and-out commitment isn't likely to wow many future civilian employers, and outside of a select few industries a lot of prospective employers will stereotype you based on being in the military and nothing more no matter what you do.
I guess what I'm saying is that join the Navy if you want to serve your country and think you'll get good life experience from it, but if you're just looking for something to pad your resume for another career there are typically better ways to get that job experience.
You can't just go " be" an air traffic controller. You have to take a test which isn't given very often. They only pick one person per region even if others have higher scores. The test is not easy. I know I went through the process and did not find out I was selected until after I joined the Navy. Also I know what an act makes and that SRO must be severely underpaid.
Sounds like trying to be a cop on LI or a fireman in NYC.