Trans cooler, too big?

[mplex2000]

So I had this oil cooler I bought years ago for a project that never materialized. Thought I might use it for the trans in my truck now that I'm LS swapping.

I live in DFW Texas so it gets somewhat warm here. This is mostly just a fun driver, but I'd like to be able to take road trips and tow a car or whatever and you know, use it like a truck also. I have to admit I'm quite ignorant with regard to anything towing related!

Truck specs:
1979 Big 10 long bed
6.0 (LQ4, probably)
BTR Stage IV truck cam
Rebuilt & beefed up 4l80e
Circle D 3200 converter
3.73 posi

Oil cooler specs:
Earls 42510ERL
Number of Cooling Rows: 25
Core Height (in): 7.750 in.
Core Width (in): 9.000 in.
Core Thickness (in): 2.000 in.

Is this going to be too big or should I just run it?