The current on the SG can be anywhere from ripping to non-existent. I've had dives cancelled because the current was pulling the mooring balls under. Most of my dives have had a moderate current which can be navigated but you have to work a bit to swim into it.
Wear gloves as other people recommend. I don't think I've ever made a dive in the Keys on any site without gloves. In fact, I've only made a handful of dives (excuse the pun) in Florida without gloves.
After a very long absence from diving, I dove the SG on about my 30th dive after returning to the sport. My dive buddy, also after a long abscence, was at about 50 dives after returning to diving. Neither one of us were Nitrox certified at the time. We got lucky and hit a day with no current. While we enjoyed the very short 20-25 minute dives (double dip), on reflection, we both felt that we probably had pushed beyond what we should have been doing with the number of dives we had experienced since returning. We felt very fortunate with perfect conditions on a set of dives we probably should not have made. We laugh about our stupidity now. But that was just us and our own predilections at the time. After our SG dives, I started diving in Jupiter regulary on drifting deep dives and got Nitrox certified and was completely comfortable on my next set of dives on the SG nine months later.
You might be experienced on similar wrecks and already be Nitrox certified so would be completely comfortable and perfectly suited for such a dive. Only you can make the judgement.
My one strong recommendation if you make the dive is that you come with a dive buddy you are comfortable with. Given your number of dives, you don't want to get hooked up with a insta-buddy on the boat.