03 DSG snake I noticed my cobra doing the same thing,getting hotter stopped so I hot wired the intercooler pump with inline switch and put a fan in front of heat exchanger so water wasn't getting hot sitting in the motor.Made a big differance,if someone had a small generator and use a bigger 120Volt fan it's even better.Just my 2 cents worth.We were using a heat gun to see how hot the water was comming from motor after 10min's & it was 140F+,turn on pump and good fan and back to air temp. in 2 min's.Generator and dyno fan,you could watch the motor water temps drop the water from intercooler was cooling so fast.
I was actually thinking of something similar, although dragging out a generator and a fan seems like it would be a pain in the ass.
On track at speed the temps are fine, but after the first trip back to the pits it is hard to get it back down to normal temps without a significant amount of airflow through the H/E. I think a pair of H/E fans + running the IC pump might do the trick.