I tow a #5000 22' TT with a 13 F150 with a GVWR of #7700 and it's "tow rating" is #11,000, but I know that ain't really possible with a TT...
The "tow rating" does not necessarily equate to a TT.. Lots of trailers out there, so there you go..
I'd tow the TT you have with my truck, but I'd really not want to tow it with a Tacoma.....
But, I'm already spoiled with the combo I have, so hard to say..
You've towed the combo already, so whether or not the numbers align, in the end, you are the one behind the wheel and only you can decide what is best for you..
Good luck!
Mitch