2013 Ford F150 3.5 V6 Ecoboost and should I tow with it??

Welcome to the forum.

At 11,000# it must have the Max Tow package, have you verified that?
And what's the yellow-sticker payload on it?

I'm about 7200# in the TT loaded, and I'm right at the rear axle rating according to the CAT scales. This is an extended cab, standard payload, with just DW & myself.
Power-wise, I'm more than satisfied with the EB F150. Handling is also good using a Reese Dual Cam. I still have the "P" tires but run them at 40PSI (44PSI rated.)