I would suggest you go visit if you can first.
I lived for quite a while in Grand Caymans. Very nice, safe. Paid $2000 incl for a two bed en suite, furnished and serviced apartment sleeping 6 on the beach and Golf course very central area.
Cars are mostly rentals for foreigners.

Everything is lovely, but as most of the Islanders will tell you, one tend to get "Island Disease" where you just need to get away from the Islands for a while.
I do not think that there are that many jobs available on Caymans. A year contract each for some of the clubs bars , diving and sailing etc .
The foreign banks have their own people that gets transfered there.
For the Government and more professional jobs, the Caymanians are very proud as a "family" which provide those positions for their own first and they are very efficient if I may says so.
Foreigners mostly get the lesser paid jobs and shorter terms . Unless you want to invest.