I heard there there was another town near Tabasco that was really high up in the mountains, and they are described as having weather like "London". Rainy, cold and cloudy most of the time. You might want to search for that place if that's the kinda weather you want.

There is also a mountain in Toluca that is a dormant volcano. That usually has ice on it pretty much year round. The town at the base of it keeps pretty cold.

Another mountian with ice is along the coast in Veracuz.

Can't recall the names, but I had to track them down for skiing freaks one time.