I'm also curious about this. There seems to be no information out there on sailing the Mexican east coast. Check out publication 148 from the National Geospatial-Intelligence Agency. It says:
Where are those small ports? I would like someday to sail out of Corpus and visit the Mexican east coast.Puerto Veracruz, Tampico, and Coatzacoalcos are the principal ports for large vessels, but there are also several small ports for vessels with shallow drafts.