The RUI is AI, so when you say recommendations - I'll answer as if you are looking for non food reco's
I find the hill in and out a little scary and would not want to drive back in at night, but just me
Day time driving in and out is fine
If only for a week? and wanting to decompress I think you could stay at the RUI the whole week, but a bit of a loss of a chance to explore. Not sure of age group but:
I think there is a round island boat trip that leaves from AM - name?, think it also picks up people in Grand Case.
I would go to Orient for a day
maybe think about a round island tour - try Wilfred Brooks, a TTOL sponsor
Maybe the Marigot market on a Wed - could be part of an island tour
If only a wk [and I don't know that] and just browsing vs shopping for something specific I would give P'burg a pass especially on a busy cruise day, but that is just me

Others I'm sure will have lots of suggestions - there is a thread on Tijon, maybe they could make their own scents as a memento

J&B