Reddit reviews Beachbum Berry's Potions of the Caribbean

And a Bottle of Rum is absolutely the book you're wanting.

Smuggler's Cove has several decent sections on rum, including some history and a lot of subdivisions and classifications.

Potions of the Caribbean is another great book more focused on the influence of cocktails in the Caribbean, but has some good insights on rum as well.

Well, there's the old saints:
https://www.amazon.com/Hawaii-Tropical-Drinks-Cuisine-Beachcomber/dp/1566474914
https://www.amazon.com/Trader-Vics-Bartenders-Guide-Revised/dp/B000LY5HJY

And the new testaments:
https://www.amazon.com/Smugglers-Cove-Exotic-Cocktails-Cult/dp/1607747324
https://www.amazon.com/Beachbum-Berrys-Potions-Caribbean-Berry/dp/1603113800

Knowing rum is good. Knowing orgeat and falernum is better.

Here are the only books you need:

1. Smuggler's Cove: Exotic Cocktails, Rum, and the Cult of Tiki
   
   
2. Beachbum Berry's Potions of the Caribbean
   
   
3. Beachbum Berry Remixed
   
   
4. Beachbum Berry's Sippin' Safari
   
   They're all fantastic. But if you only buy one, start with Smuggler's Cove. It's just an incredible wealth of information and it's a lot more current than the others. It's also very useful if you're looking to expand your tiki repertoire since it has a lot of information on bar equipment, rums, syrups, etc. that the other books lack.

Pick up a copy of Beachbum Berry's Potions of the Caribbean and go crazy! Or, if you have an iOS device, get his Total Tiki app...your list is custom made for tiki drinks.

Also, try a sidecar with apricot brandy instead of Cointreau (you may prefer orange juice to lemon in this case).