Picking the 10 best Caribbean rums is impossible. During my on-the-ground search, I found a rum that was more than 50 years old, one that cost $25,000 a bottle, and one that’s 73 percent alcohol (146 proof!); rums that took my breath away, and ones I wanted to sip and savor. I asked for help from Juan del Busto — an international rum judge and collector with 1,500 different bottles on his shelves — to help me choose 10 top surprising rums that are 1) well-priced (maybe even undervalued) for their quality, 2) available in the U.S., and 3) distilled in the Caribbean. — Ann Vanderhoof