Just a quick update. I was able to complete the install of the ATF cooler last evening and I’m relieved it’s over. I proceeded with Charlie's recommendations by connecting the top line to the filter side and the bottom line to the line running out of the radiator. I realized that there was no way for me to reach the clip on the S-hose connected to the filter side without removing the battery tray - which I opted not to do. So rather than removing that S-hose as the instructions suggest, I just connected this hose to a barbed coupler I bought for $3 and connected to the top line of the ATF cooler. I could have used the male and female barbed adapters included with the coolers to make my own coupler, but I figured that it could be one more point of failure and leak at some point in the future. I'll call it peace of mind. I wanted to take pictures as I went but it with transmission fluid on my hands while under the van, it just wasn't possible. Also, I found that it was pretty easy to over-tighten the hose clamps, so be careful with that part. You want them nice and snug but not enough that you start cutting into the rubber.
I've been watching it carefully but so far I haven't seen any leaks. I noticed that the cooler got warm pretty quick and then realized that the powering steering line - that runs across the AC condenser and directly behind my cooler - also gets pretty hot. I had my cooler zip-tied to this line and began wondering if the heat on the cooler was coming from the fluid or from the conductive heat on the metal steering line. So I took a short 1" piece of leftover rubber tubing and made a cut in it from top to bottom so I could slip it onto the power steering line and use it as an insulator between my cooler and the contact point of the line. After doing this, there was no noticeable difference in the temperature of the atf cooler and so I concluded that the heat is coming from the transmission fluid alone. So I may have over thought that a little, but I wanted to be sure.
If I could go back and do it again, I'd probably mount the cooler directly to the outside of the AC condenser at the upper driver's side corner. With mine mounted in the lower side, the metal bumper reinforcement beam that sits in front of the cooler blocks at least 5 inches of what would have otherwise been clean airflow. I believe it would have more airflow if mounted in the upper right. I'm guessing that it will be just fine though in either configuration. Tomorrow I plan to mount the draw-tight hitch and this project will hopefully come to a close. Thanks to all who helped!