All of the following have minivans - all are reputable companies:
Bullseye -
https://www.bullseyecarrental.com - Consistently gets excellent reviews. You can't go wrong renting from this company.
Avis -
http://www.avisstkitts.com - typical AVIS cars and service.
Thrifty (aka TDC) -
https://tdcgroupltd.com/thrifty.asp - locally based company - been in business for 30+ years.
Express -
https://xpressautorental.com - smaller independent company.
