Sounds like boot-foot, neoprene waders? (vs stocking foot waders with wading boots)
For a host of reasons, getting the inside dried is a little more pressing. I'd towel-off the exterior, turn them inside out, hang them in a warm/dry place like your laundry room. If required, prop-open the boot portion and run a fan as well. If the room is warm/dry, I doubt you need any separate appliance.
Stocking-foot waders can be turned inside-out all the way. I use these for river fishing, but un-insulated /goretex. The positive-they breath, dry quickly, easily repairable, etc. The negative-cost, no insulation (sometimes a plus) and wading boots fit more positively if you have any distance to walk. Good for arch support, bad for wearing thick socks if that's part of your set-up. I'd give the turned-inside-out waders at least 24+ hours to dry, then hang them right-side-out for 24 hours.
I wear un-insulated waders down to about 0C, just thin fleece underneath. Neoprene (for me) is rarely comfortable. Too hot if I have to walk/paddle any distance, and then cold/clammy once I stop and enjoy the sweat-dampened clothes.