Okie dokie. The datasheet describes how RTS and CTS function in such detail that I was unsure if it was describing what the hardware does, or if it was describing what the programmer should do since it makes no indication that anything additional needs to be done by the programmer.
Probably will need interupts in my case though since the DMA is the one feeding data to the UART. Would have been nice if it was hardware based and the UART just held off transmision on it's own which would automatically hold back the DMA. It's a bit of a PITA to disable the DMA mid-transfer because it doesn't pick up from where it left off when re-enabled, so you have to configure it to pick up from where it left off each time before re-enabling it.
EDIT: Or maybe...I could just disable the transmitter...yeah that's probably better. Then no need to fiddle with the DMA.