If you leave your cooling setup stock and simply turn off the Overdrive while trailering your KJ should live a long and happy life. If you are still looking for an improved solution over the stock setup I would recommend mounting a small electric pusher fan on the front of the transmission cooler that is thermostatically controlled by using a product similar to this
Thermatic Fan Controller or this unit
Delta Current Control - Fan Controller. [*note the DCC system is hand built and it'll take about 4 weeks for delivery] This way - you don't have to worry about switching on the fan while towing or even while driving because it will just turn on all by itself when it's needed and thus help to keep your fluid temperatures under control.
Now, personally I believe the stock cooling is acceptable. The one downside to the cooling setup follows: Since the cooler is mounted on the outside without any larger metal heatsink that functions as a secondary cooling device - the external transmission cooler can reach a point where it can only reject a certain (maximum) amount of heat from the fluid. All other heat, above that maximum will be returned back into the transmission fluid since it can not be placed anywhere else. This is what I would consider a temperature spike. This typically would occur at lower speeds where the air moving across the cooling fins of the unit is at it's minimum and the load on the transmission is greatest [towing].
If we consider the in-radiator version of the transmission cooler we can see that the extra radiator surface can continually accept the extra "burst" of heat from the transmission fluid and properly dissipate it across that much larger metal heat sink [radiator surface area] effectively aiding the transmission cooling capability. This then controls the spikes in transmission temperature more effectively than the remote mounted cooler found on KJ's equipped with the 42RLE transmission [2003+ KJ's].
Now with all of this stated - turning off the Overdrive really cuts down on heat generated while towing and given the number of KJ's running around on the road with no problems with their transmissions, it is safe to assume that the current setup is, again, acceptable for normal use.