If you are honestly worried about what what law enforcement will see if they enter your home, it would a good idea to take willowy's advice and obtain a copy of any applicable local statues. Keep a print out of it next to your enclosures. And do the same with state laws just to on the safe side.

In any case, your city's home page links to this site:
http://www.conwaygreene.com/GIRARD.HTM
Do a keyword search for snake. It appears that prohibited snakes include anything prohibited by the state, plus harmless venomous snakes and "members of the boa constructor family" (definitely vague wording there). You aren't allowed to keep rats, either.