You can disconnect the lines front and back and run compressed air through them, that will clear the lines themselves. Compressed air is usually too much pressure for the ATF cooler/radiator though.
I would take off the return line first to see if you get fluid flowing out. If it doesn't then there may be a clog in the ATF cooler/radiator. If ATF comes out, then take off the feed line, clear them both, and pour some ATF into the top hole on the ATF cooler/radiator and see if it runs out the bottom about the same rate.
If antifreeze comes out of the ATF cooler/radiator. Then you need to replace your radiator.
Aftermarket coolers are nice if you do alot of towing or moving heavy stuff, however the ATF still need to run through the ATF cooler/radiator first then into the cooler, then back to the transmission.