When you drop the pan that only gets about 4 qts of fluid. Depending on the tranny you have 9 or more qts total .
What I do is drop the pan change the filter and put the pan back on. Refill with 4qts of fluid. The tranny cooler lines run from the drivers side along the bottom of the radiator to the passenger side where they connect to the cooler in the radiator. Right in the middle is a flare fitting that adapts the steel line from the tranny to a rubber line that goes to the radiator cooler. Take this apart and put a piece of rubber line on the steel line side and direct it into a bucket. Start the engine and place it in neutral ( the pump does not pump fluid in park) and pump about 4qts of fluid into the bucket. At the first sign of a sputter in the flow of fluid stop. Stop the engine, reflill the tranny pan and do it again. This will flush most all of the old fluid out of the system without running it dry.
FWIW, chrysler is now recomending ATF+4 in all there automatics regardless of what the owners manaul says. I have heard enough good things about ATF+4 that it sounds like paying the extra for it is worth the extra cost. The +4 is only availble right now from the dealer (BTW, Valvoline claims there MaxLife ATF meets +4 specs), check around for a decent price. The normal going price is $7 per qt, I got it for $4.99 in gallon containers.