transmission flush
I thought if you 1. ) let it drain over night you could get most of the fluid out of the transmission and TC. or 2. )with transmission pan off bump the engine with transmission in neutral, (pump does not work in park), until fluid pumped out.
#2 does not appeal to me since you would be running transmission dry, what damage?? :--)
the flushing machines work off cooler lines and on one side pump out old fluid while on the other pump in new, but the down side is with flushing you don't drop the pan and change the filter. flushing could cause more problems since new fluid could dislodge shavings and "dirt" trapped by old filter and send them into the transmission worings where they could clog something.
best to drop pan remove old filter, and with fron up on jack stands let the fluid drain overnight, or as long as possible then replace new filter and fluid, (you probably would be left with about a quart in TC using this method. Cleaning the bottom of the pan and replacing the filter would get rid of virtually all "particles" and the "last quart" of old fluid would be dilutted with the 4 - 6 quarts of new fluid.
if your really fanatical about this at that point you could drive to transmission shop and have them flush the new fluid you just installed, expensive but about the cleanist you could get with minimal potential damage to transmission and TC.