Catskill, I've hunted all the public land in Monmouth county. Your choices are Assunpink WMA, Allaire S.P., Turkey Swamp WMA, and the Manasquan WMA. They are all good choices and I have take deer in all of them. Keep in mind that they all do get their share of hunting pressure on Saturdays. The rest of the week though is not too bad. Almost forgot to tell you that Allaire is bow only.
Good luck and happy hunting.