Well, there's nothing special about the Turneffe area that would lend itself to recreational EAN diving per se except the diving's mostly around 60 to 70 feet. TIR sells the stuff, 32% only, so they offer the class in hopes that you'll take it and then become a nitrox customer. I suppose a less jaded view would be that they offer the class as a service to their guests who would like to take advantage of diving with nitrox.
Which is what I did. I'm glad I did it, but I had two weeks to get it done and used TIR's "off day" to do it.
You asked in Stoo's TIR review thread if you should take the course there. Since you're staying only a week, I'd recommend doing the class ahead of time even though there's no diving involved and really very little "classroom" work either. Instead, you study the manual, answer the review questions at the end of each chapter and take the final exam. If you have an aptitude for this type of learning, you can probably be certified within a couple of days by studying the manual at night. If you're like me, you don't have such an aptitude and it will take the better part of a day of concentrated study while seated at a desk so you don't fall asleep on your bed, ahem. Either way, it would be a decent size bite out of your down time.
The only time my instructor got involved was when we went over my completed final to review the questions and my answers. Then he showed me their fill station, explained how the gas is blended and let me practice using their analyzer.
PADI now offers the course online. I don't know how it's structured but I would think that about the only thing you would miss out on would be an instructor going over the final in person, a look at a fill station and a hands on experience with an analyzer.
One other drawback of doing it at TIR is that you don't get to keep the manual. They lend it to you, and you give it back when you're done. So I bought one, along with an analyzer, when I returned home.
Based on my limited experience at the resort, I'd say maybe a fourth or less of the divers used nitrox.
Have fun and be sure to do a trip report when you return!