Don't know the quality of diving or lobster diving near Wellfleet... But have read where the Target Ship is a good dive nowadays. Google Target Ship Cape Cod. It's a dive you might want to consider. Best if you have a boat, not sure you can reach it from shore. Word of caution is to note the tides. I dove the Target Ship in early 90's as tide started to go out. It was wicked strong! I do mean wicked! If we did not have our wits about us, we would have been taken out of the bay itself. No lie. Not something to mess with at all.
Take note of warnings for proper lobster license and all other requisite qualifications to hunt them... numbers on tank & flag, size, notch, eggs, etc. The Police are not usually forgiving for any infraction no matter how small. I have been checked relentlessly. They don't fool around.
Welcome to MA! Have fun. Let us know how you make out.
dd