Ticks don't like heat if they don't have a water source, they dehydrate pretty easily.

Once again, a safe, non toxic way to rid an area of such vermin would be ultrasonic sweeps. I don't know what the sweet spot is on ticks, but I betcha 18Khz to 40 Khz at 100 db or so would send them packing pretty quick, or melt them.

If they are still in the nymph stage (souunds like it from the size you described), then they won't be egg laying, and in a couple weeks they would descicate or seek life elsewhere in search of something to live on.