Towing Package Question?

I'm retrofitting a tow package on my 2013 Prerunner V6 to tow a 3500 lb travel trailer frequently in HOT Texas weather. Picked up a HD Hayden trans cooler to install because I understand the importance of keeping the fluid cool during hauls. Is an Oil Cooler equally important to install? I hear almost nothing about an oil cooler in this forum...please advise!?

One other question, do I really need a heavier amp battery and alternator combo or will one or the other do? I have the stock Toyota battery and alternator in the truck now. Going to be traveling about every other weekends and all Summer long especially here in Texas.

Any info and insight will be certainly appreciated by this Taco and Towing NEWBIE.

 

I added a B&M trans cooler to mine and it has helped in the summer. Trans was about 15-20* cooler in 100* last summer.
I also installed the OEM oil cooler, wasn't cheap, but if it helps keep the oil temp lower while towing, then it is worth it to me.

I also installed the 7way plug, but did not add a bigger battery or alternator.
Whenever they go out I might, but it should be just fine without them.

 

Thanks for the reply. This is a learn as you go thing for me...On the job training. Picking up my travel trailer tomorrow and ready to hit the road running for the weekend.