Engine Utilize trans cooler on manual car?

I am working on my 90 5.0 street/track-day build. To handle the lapping sessions I am doing some cooling upgrades. I bought the SVE 3-row aluminum rad and electric fan set-up from LMR as well as a stand-alone generic trans cooler. My car is a 5-speed but I plan to use the trans cooler for the power steering since I used to run into ps overflow issues on track.

I didn't realize until I went to install it today but the radiator has provisions for the trans cooler for AOD cars. Now I am wondering is I should run the ps fluid through the radiator instead, or radiator and then stand-alone cooler. I'm also thinking about adding an oil cooler and have seen the nice but very expensive Mishimoto set-up.

Has anyone used the radiator trans coolant loop for steering or engine oil instead? What was your rationale and how did it turn out?

Thanks for the comments. I’m still on the fence about whether it would be a good idea to put it in series with the stand alone cooler but I ended up deciding not to use it as my overflow bottle is blocking the fittings anyway once I got everything mocked up.