As for the alcohol thing, I’m a bit of a drinker myself, so it’s hard to offer advice to an AA person. I guess one factor could be that there are many places around the world where alcohol is so cheap and the days are so warm that many people drink during the day AND at night. If I were in your shoes, I’d probably want to avoid those places. Probably the easiest places to go would be Muslim countries and India because there is little or no drinking culture there, so they have endless evening alternatives that don’t revolve around drinking.
While December is quite busy in Lima, as a very popular summer beach destination for South Americans, it's also still very reasonably priced so it's worth considering if you are exploring the continent. The beaches aren't spectacular as they are in Brazil and elsewhere, but Lima is still a great summer city with great outdoor life this time of year.
Weirdly enough, Central America and South America aren’t really known as top “culture” destinations, as the colonial history has mostly wiped out the indigenous history in the larger places. There are Aztec, Maya, and Inca ruins and sights, but not really enough to build a whole trip around. I’d say the most interest of those would be the Inca culture of Peru, specifically around Machu Picchu and the valley around Cusco. Alternatively, visiting Argentina is pretty much like visiting Europe from a culture standpoint. It’s quite nice there and prices are low if you know about the blue market for currency, but otherwise it may not be what you are looking for.
If you’re a bit more on the timid side, you can always use Yelp and TripAdvisor to get good insights on places people have visited. As a disclaimer, some of the ratings may not be accurate on these sites, so make sure you go through and read some of the more recent reviews that people have written. We did this for a few of the places we visited and had no issues.