Anything by Appleton would probably be suitable. I'm not sure what they have in that price range though.
For a non-Jamaican rum, I would suggest Barbancourt 15 Year Old from Haiti or English Harbour 10 Year Old from Antigua. Both of those are excellent and definitely in your price range.
You could also consider El Dorado 15 Year Old from Guyana, although it is sweetened, not that DDL - the company that makes it - will admit it.
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