Yes, I have seen their census and the moderator refused to answer my very pleasantly stated question in a less than pleasant fashion. I have seen only the single other MS64 that is part of the Jamaica penny census #1 set. I am a bit dubious as the 1882 H is represented by only a single coin - this type (with the H) is decidedly more common and has been published as that.
Frankly I would guess that the mintage for the year total or that for 1882 H might be the 48,000 you stated. Ford, amongst others was unaware of the coin in currency form. My recall is that the Diana collection did NOT have one. I am inclined to believe that the 1882 "no H" would be substantially less.
If you do find a mint state 1882 "no H" my recommendation would be to hold on to it. If you find either of the 64s or the 66 for sale at a semi-sensible price, do let me know.