I did the
DCL 7 day cruise solo in Sept. 06
I was unsure about going to the dinning room solo, I went the first night, and meet my dinner party (table of 8) and I was welcome by all, it turn out to be the best part of the cruise. If it would not been a good time, I would have not gone back, I'm glad I try it the first night, as I still e-mail all my dinner mates.
When in Nassua as you walk off the ship, turn to the right past the taxi stand and walk along the sea wall, the first street will be where the Hard Rock Cafe is, and the next street will have shops, and you could go all the way to the end, and there is open air shops like a flea market with shirts/hats and stuff like that, if you go left after getting off the ship there are shops of all types, the Del Sol store and such.
There are hotels you can book so you can use the beach, but I never did that, so not much help there.
Would I do a solo cruise again, YES, looking at going next year again.
Big John