Hayden Transmission Cooler

Found a nice sized Hayden Brand cooler. 11x9.5×3.5".
I don't know much about these 3.4 or transmissions in these Taco's. I have a 2004 with the 3.4 and no tow package. I'm not sure if this version of the Taco has a OE cooler incorporated into the radiator, like my old Jeep did. When I ran the a aftermarket cooler in my Jeep, I had to choose whether I wanted to isolate the new cooler and cut the radiator out of the picture...or run it and incorporate it back into a radiator like OE setup.
Which method do people prefer with these 3.4 and transmission setups?
How is this cooler for these trucks?
Are there larger coolers for these that others have utilized?
I have gotten temperature gauges installed in the past. Whats a good place in these trucks thats owners prefer. Typically i have gotten them installed in the fluid exit line of the transmission. Mainly so i know the temperature of the fluid in the transmission.
Hayden Automotive 678 Universal Rapid-Cool 9.5” x 11” Add-On Transmission Cooler – Not for Direct Replacement of the OE Cooler https://a.co/d/06lIbS9r

 

Here's my thought on this, and what I intend to do.
The transmission cooler is built into the radiator on my 98. If for some reason the radiator fails then coolant can get into the transmission fluid, resulting in catastrophic failure, or transmission fluid into the engine, which probably won't hurt but still.
So, I am going to seperate the two, buy a radiator for a Tacoma with a manual tranmission, so no transmission cooler built in, and probably better cooling for the engine (I do live in Tucson).
I have a transmission cooler, with a temperature controled fan to cool the tranmission. I should probably add a tranmission temperature gauge as well.
I think that this is probably a good way to eliminate a possible cross contamination issue. The trick is going to be packaging all that into the grill area....
Amazon.com: Derale 13614 Series 9000 Plate and Fin Transmission Oil Cooler,Black : Automotive
Amazon.com: Derale 16308 8" Dyno-Cool High Performance Electric Fan : Automotive

 

Very nice and thorough suggestion. Only shitty thing, I literally just replaced my radiator. Haha.
I can still bypass the radiator, even with the automatic trans radiator, correct?
I always bypassed them in my Jeeps. Due to that exact reason. However then you have to worry about having a big enough cooler to ensure that it cools the transmission when it is cooling all by itself. I could get a fan on a thermostat and throw it on the front of the cooler. Is this what you essentially did? Because that may be the way to go.