First and foremost - If you get in the water and at any point it feels like it is too much to handle...then it is and call the dive if you are not comfortable. Second...dive on the slack. (Between tidal changes). Tidal changes will cause currents, it is simply just a matter of how much, however current can also run without a tidal change. The biggest thing you can do for yourself is research the wreck and find out how the current runs on it...and plan your dive accordingly.
If you are diving current, you can drift dive...but that doesn't really apply to wreck diving. Be sure you have something to signal with should you get blown off the wreck. I am pretty anal about it, but I always carry a small signal mirror, whistle, a pair of strobe lights, pocket LED dive light (in addition to my main light), safety sausage, finger spool, dye marker, and cylume light stick. Believe it or not that all fits into a pocket except the safety sausage which I just clip to my harness. Yes...I know....pretty anal, but I would rather have it and not need it than come up short. On deeper stuff or deco dives I have a lift bag and reel as well.
If the current is running the dive boat should have a granny line (line running from the stern or diver entry point) to the anchor line. They should also run a tag line...about 200'+ of line with a float so that if you miss the stern you can get on the tag line and pull yourself into the boat. Also be aware (and I don't know if this is true where you are going) that you can have current running at the surface, but less at depth, or vice versa, or running one way at the surface and another way at depth. Needless to say if the current is running be sure to use the anchor/mooring line to decend and ascend. Work into the current first when you are fresh and use it to drift yourself back to the anchor line as you finish. If visibility is bad, don't hesitate to clip one of your strobes to the anchor line on the wreck so you can see it coming back. I have done a couple where the current was really nasty and taken a jon line (about 8-10 feet of nylon webbing with a loop on one end and a carabiner on the other) and actually clipped myself into the anchor line using it like a telephone pole repairmen would use a harness to climb a pole. I think today if I got in the water and it was running that fast I would be prone to wait for the current to subside or maybe come back another day. Depends on the dive I suppose.
I have been on deeper wrecks where the current has howled. You can use the wreck as a "shield", in other words be on the lee side of the current...however this limits what access you are going to have. Make sure you are in shape! If you are in current much more than 1.5 knots...you are not going to be able to swim against it very long...and you will tire very quickly. You can, if you must pull yourself along the wreck, however if the area is fished now you are going to have to deal with the possibility of fishing nets and monofilent line...which I don't know if that is an issue on the Grove. Ditto if you choose to stay close to the wreck where the current sometimes will be less pronounced...just keep your eyes open for snags. Needless to say have something to cut with. I have a small dive knife as well as a pair of EMT shears...which I favor more.
Be sure and talk to the charter operator...usually they have their act together and can offer a dive plan that will help you.