A 10-22, something small and fast for dark situations (50/1.4), and a general purpose lens with lots range. 24-105 would be ok, but so would something smaller like an EF-S zoom that would be lighter - providing I owned one.
Do you own a FF and a 16-35? If so, yeah, that's what I would have taken. But if I only had a crop and I liked architectural shots I'd get a 10-22, no question.
I never really understood the not wanting to take more than 1 lens thing. That's why I bought an SLR, so I could use the optimal lens for a situation. I'll go light for outings, but I'll take more than 1 on a trip and leave the extras in the room if needed. Usually though sticking a 50mm in a bag or pocket isn’t a big deal and it’s nice to have if things get dim. I've never had a problem changing lenses in damp, humid, and dirty places all over the globe. With some practice you can do it quite quick.
I do have a 5D MKII. It was a last minute decision on my part to take a DSLR vs a P & S. My FF lens options include a couple of primes: 241.4L, 100 2.8L and a 70-300L I also took a laptop but not with photography in mind. In hind sight, I should have taken advantage of the technology on hand but I wasn't sure what I would be doing in terms of sight-seeing. So, the T3i 24-105 was a compromise. Usually, I only have a single carry-on bag when I've visited Mexico ion the past. The one piece of equipment I definitely regretted not taking with me was a tripod. Beautiful night sky. To borrow a quote from Carl Sagan: "Billions, and billions of stars ..."
My last trip to Mexico, I had booked a tour to Ek Balam and it was cancelled because I was the only person to sign-up for the tour. I was expecting a similar outcome this trip but 5 other people signed up, so I'm really glad that I got to go. Ek Balam and the nearby Cenote Maya are worth going back to visit.
If I was going to go to Mexico I'd take a Rebel and my Tamron 17-50; Enough lens and camera to be worth carrying around, not so much camera that I would miss it if someone really felt they need it more than I do.
I wasn't really concerned about the equipment but I'm 64 and let me tell you; if you're not in the habit of doing some type of cardio exercise on a regular basis, climbing a pyramid will test your mettle. The Mayan pyramid at Ek Balam is not as high as the one at Chichen Itza but its gonna work some muscles. It was a treat for me to have been able to safely climb to the top of Ek Balam. At the top, you're presented with a beautiful vista of the surrounding jungle and the other Mayan ruins including the ballpark in the distance.
I say a treat because you can no longer climb the pyramid at Chichen Itza. A man fell to his death their a few years ago.
After a few hours of trekking through an archaeological site like Ek Balam in the heat and humidity, you definitely want to be traveling light. The cenote Maya at Ek Balam is cavernous, the water is very, very deep and very, very cold. I did not see anyone other than myself carrying a lot of camera equipment. Mostly, P&S's. With the exception of one woman from Monterrey, Mexico. She was photographing and doing video with an iPad.