I'm a long-time supporter of La Unica, including its liquor section, and also cachaca. First off, you are correct about LaUnica's outstanding little booze isle. Look closely, and you will see a few well-selected bottles of reserva and/or gran reserva riojas, top brandies de Jerez (Cardinal Mendoza, Lepanto, ect.), good piscos, aguardientes, and cachaca, at very fair prices. Other than food and booze, all sorts of culturally important things fill the aisles at LaUnica, such as Royal Violets, which any Cuban kid must have in his or her hair at all times.
My favorite cachaca for caipirinhas is Pitu, the cheap white stuff with a langostino on the label. That is what is most used at the little hut beach bars in Rio. (Speaking of which, the mojito thread reminds me that I haven't made a big jug of caipirinhas yet this summer.) Beyond that, I have some Ypioca Ouro and also Plata around the house. I dig the label with the 70's photo of some hip old dude sipping cachaca contemplatively. The gold is barrel aged and is a good drink, falling somewhere between an anejo tequila and an aged rum. Indeed, it is quite like Barbancourt, which is an odd rum because, like cachaca, it is made from
guarapo (cane juice) rather than molasses. Nice for a change of pace.
Among the beers regularly in rotation, keep a lookout for Dominican Presidente (green bottle, gold and white label) and Gutemalan Gallo (brown bottle, red label with rooster). Hatuey is, as you suggest, not "Cuban" in the sense that a US brewery makes the stuff under the same trademark as the original Cuban brew. While a Cubaphile, I can't say that either version of Hatuey is any good. The malta is excellent, however.
Here's something I wrote about caipirinhas maybe 4 years ago. I was reminded of it because AnnieB, who has just emerged with news of a great place, was a major contributor regarding things Brazilian:
Annie, you are right that you don't need a recipe for caipirinhas. The ingredients are but three. However, there probably is no drink where technique is more important. The versions I've had in Chicago uniformly disappoint. The technique required is recklessness.
After spending some time observing carefully the production of caipirinhas at the beachside bars of Ipanema about 8 years ago, I brought back a couple of liters of Pitu and had us a caipirinha party. This was all pre-pan-latino-craze, of course. Since then, no one will let me attend a summer outing without mixing up a batch.
One secret, IMO, is respect for the lost art of muddling. Very few drinks are muddled these days. Shakers and blenders cannot do justice to certain drinks, and the caipirinha is one. Anyway, here's what I do:
Use the cheap stuff, Pitu cachaca (with the big shrimp on the label) or similarly characterless aguardiente. The good stuff is not only wasted here, it makes the drink taste bad. (Like a margarita made with a smoky mezcal legitimo: who needs it?)
Two cardinal rules: more limes, more sugar. A full Florida lime or 3 Mexican/Key limes per glass, at least and a couple of tablespoons of sugar. Better yet, jack up the sugar concentration by using a simple syrup. At least use the very fine grained (but not powedered) bar sugar found at some liquor stores. Also, look for thin-skinned limes. Thick white pith makes for a bitter mess.
I make mine in a big jar, like those used for Mexican refrescos. Roll the limes, quarter them, throw them in the jar, continue until jar is 1/4 to 1/2 full. Put in lots of sugar/syrup. Take a long wooden tejolote (pestle), not the one you use for garlic, and smash the limes into oblivion. Nothing worse than paying for a caipirinha at a bar that is garnished with a few dainty, barely squeezed lime wedges that would be more at home in a gin and tonic. A new wooden spoon works well, also. When you have a lime slurry, fill the jar with good, clear ice. Then add the Pitu, and don't be shy. I usually start with a liter and a half and go from there. Mix well (get the sugar off the bottom), sample and add more sugar if your teeth don't hurt. Serve with a ladle to get the proper lime/ice ration in your glass. Add ingredients as needed. It helps to be outside at a picnic table with temperatures above 80, and a pig roasting nearby.