I'm going to talk with them and try to get a feeling for what their commitments and expectations are. I need to figure out the time division between the reserves and civilian job. I'm leaning towards a non-flying billet to ensure I can get my civilian career off to the right start and get established.
My $0.02, but unless you have a good civvie gig already lined up (and it didn't sound like you do), I would say get your foot in the door flying with the USNR while you're still junior and not as long out of the plane. Not being current it's a tough sell already, but will only get tougher the longer you're out of the cockpit. That being said - reputation in the Fleet counts as much or more as hours and currency, at least in my experience. I've seen selection boards pick up non-current people based on the endorsement of previous skippers and current ready room members, while guys coming straight from IP tours got turned down. Once a unit picks you up, they're more or less stuck with you until you decide to leave. They don't want someone who'll be a pain to be on the road with or will make the unit look bad to the Fleet.
@Gatordev says it's very competitive for RESRON seats right now, and with the FOSx2 bloodbaths, I believe it. So if you want to rush -62, then rush -62. Work your contacts in the squadron, get in touch with whoever handles recruitment (often the XO), show up for some drill weekends, basically do it like a civilian job you really want.
And don't think of VP as your only option for flying. VT and VR are open to you. Ask around and see what's out there. A lot of LTs coming into the Reserves make the mistake of thinking it's like AD, with a detailer who'll find something for you. It's much more like civvieland - if you want a good job, you have to go find it and land it yourself.