How to I ship via UPS?

Hello,
I currently use ShipRush to print USPS labels, but I have a customer that states USPS cannot deliver to their address and requests I use UPS.
I do not have a UPS account, but UPS delivers to my business on a daily basis so I assumed I could print a UPS shipping label and just hand them the package? If this is correct and I do not need a UPS account, how do I add UPS to my ShipRush program as a carrier service within my program?
TIA