Rodney Bay is a nice area - especially the mall!!!
As for the visa - my mum and step dad came out here three years ago (my step-dad is a Lucian). my mum got citizienship as they were married, I had to go back to immigration for a year to get a new stamp in my passport to say that i was allowed to stay in the island, due to being under my parents guardianship (i'm over 30!!!!).
I had a scary moment back in July last year where they couldn't extend my stay past 12 months and said that i'd have to go back to the UK for 3 months then I would be allowed to come back - but we managed to get it sorted out and i'm now in the process of getting my temporary residency. I've also got my work permit, so now dont have to go back to immigration for a year
I think if a non-national buys a house, you can apply to the Ministry of Home Affairs for an Alien-Land holding licence. I don't know how this relates to having a visa.
If you want, I can find the numbers for immigration and the Ministry of Home Affairs, so you can find out - straight from the horses mouth??
Let me know.
Lottie