I can see it now Jay.
Cover the area with cardboard, hit it with the heat gun, set the carboard on fire with those temps, let the cardboard burn, stand by with the garden hose in case the burning bits of cardboard start flying off into the dry brush in the area and you forgot to add cellphone, to call for the Fire Dept if things get totally out of hand.
I jest a bit, as you know, but I also know how many folks have major problems with RKN's and the fact that tomato varieties that have RKN tolerance are not all that useful.
And it's a real bummer to have to move to containers if the RKN populations do build up to destructive populations.
Baking the soil as you're implying should remove lots of water and since the RKN's move from sandgrain to sand grain via the water shell around each grain, it might just work.
Are you going to also do controls in the same area?