The rums from Barbados excel in every way, especially Mount Gay. Exquisitely versatile for many cocktails. My go to rum since 1982. As for daiquiris - try a banana daiquiri - truly an addictive delight.
I also do rhum from Martinique and Haiti. They are both agricole and a different flavour profile. Jamaica, Barbados, Martinique, and Haiti all have laws governing sugar adulteration of their rum/rhum which brings forward the flavour instead of sweetness.