Can anyone recommend a reasonable hotel in Rome that has parking.

Thanks,

Bea

http://www.sosed.eu/villamariapia.html

The website is in Italian, but if you e-mail them at villampia@tiscali.it they will reply in English and you can ask them questions about their facilities.  They have a secured parking lot where you can park your car and they are located at about 15 min. walking distance from a Metro stop.

There are numerous monestary's that take in lodgers, prices are reasonable below 100 euro and most have parking. The majority are in the area of the Vatican. check this website: 
http://www.monasterystays.com