Hi Bicycle Travelers,
Here is a post that gives a few tips on how to save money if you are passing by Chichen Itza. I wouldn't go out of the way for it using these tips but if you are coming from Cancun-Merida or Merida-Cancun it could be a good option.
[http://www.cyclingelmundo.com/chichen-on-the-cheap/]
Please let me know if you have any questions about this or about cycling in the Yucatan in general.
Happy Trails,
Amanda