I would love to hear more about your most recent trip since I am considering an extended stay on the island early in the new year. I am hoping to head down late in January and stay through most of February if I can find a cheap rental, schedule w*r& travel accordingly, etc.
Our family bought a condo there May 1st this year after falling in love with the place over the past 4 1/2 years after taking up scuba diving. We had traveled all over the Caribbean and found the people of Cozumel to be the nicest by far of anywhere we've traveled. Cozumel is also a great value with many great low cost lodging options and good, inexpensive restaurants.
Almost all lodging is along the west coast of the island in three separate areas: in town - San Miguel, north of town or south of town. North of town has many condos and several large hotel/resorts. Within walking distance to town but on the far end of walking distance. South of town can be several miles and a $20 one way taxi trip away. Our condo is on the southern edge of town and we can walk to the central plaza in 10 minutes at a leisurely pace. We chose this area because we did not want to have a car and wanted a variety of entertainment and services within an easy walk. We walk all over town until 10-11 pm and have never had the slightest issue.
We dive everyday and the boat picks us up at the pier around 8 am and we get back around 1:30 pm after two tanks. Usually eat some lunch and then spend the afternoon at the pool or exploring town prior to dinner. Go to different restaurants around town for dinner and that back home to relax. Also, we sometimes take the ferry to Playa del Carmen for excursions on the mainland. Costs about $12 pp one way and takes 30-40 for the 12 mile crossing.
Tourism is way off due to the poor economy combined with the nightly news and newspapers repeatedly blaring how dangerous Mexico is. Not true of Cozumel because the island offers limited access by one ferry pier and one airport. Anyway, you should be able to find a decent place to stay at a reasonable price. My condo is already rented for most of Feb or I'd quote you a price.
I would check with this realty company that offers longer term rentals.
LONGTERMRENTALSHP
Luxury condos for sale, commercial properties for lease in Cozumel * Cozumel Capital* luxury residential homes
You can fly direct into Cozumel or sometimes save $200+ by flying into Cancun instead. Adds 3-4 hours travel time and can include nice bus ride, ferry and taxi. Probably costs around $50 pp round trip so be sure to deduct that cost from potential airfare savings.
Also, you can browse the discussion forum here for rentals or post a request describing the ideal rental situation you are looking for.
Cozumel My Cozumel Discussion Forums -> Cozumel Accommodations
or
My Cozumel Community - Index
These discussion forums are also offer a wealth of info on all aspects of the island. Let me know if you have any questions but be advised I'm having surgery tomorrow and probably won't be back online again until Friday or Saturday.
You can often call some of the smaller hotels in town and negotiate a monthly rate. You can try
Welcome to Cozumel, at Suites Bahia in Cozumel México
or
Hotels in Cozumel,Hotel Reservation,hotel booking Cozumel|Vista del Mar
Hope you find what you're looking for. I'm extremely jealous and would love to go back for a month.