Would that be similar to what you see on cars that are towed behind a motorhome? Are they permanently attached or is it removable?
No, Jim is suggesting a conventional front-mounted hitch receiver, which is the same as the hitch receiver on the rear of the tow vehicle, but designed to semi-permanently mount to the front of the vehicle... not a towbar. The problem with this is linking the tow (pusher) vehicle to the trailer while allowing vertical motion between them - while the idea is novel, it would be problematic.
Insert a special female stinger and a male ball stinger on the trailer, hook up and push. May work, just an idea.
I assume this means a coupler mounted on a 2" square tube inserted into the tug's front receiver like the photo below, but ignore the framework on the table which would be the receiver frame on the front of the truck instead).
The problem with this is that because this is not the way a hitch is normally used (as Jim Bennett explained) the coupler's height would be determined by the tug, while the height of the ball on the trailer would be determined by the trailer, and in anything but a perfectly flat world the two would change and disagree. I certainly wouldn't want the trailer supporting the tug or the tug pulling up on the trailer.
A towbar, as used to flat-tow a car behind a motorhome, would actually work, although this would be backwards to the normal use in some ways. Brackets for these systems are available from various manufacturers for many models of vehicles, including most which are used as travel trailer tow vehicles (owners of really big motorhomes routinely tow even full-sized pickups and SUVs behind them); the trailer would take the place of the motorhome. These tow systems can be quite complex and expensive, but for this purpose a really simple A-frame towbar (such as
this one at Princess Auto) should be fine, and would couple to a normal ball on a ball mount on the Escape. I wouldn't have thought of this without this discussion, and it's an interesting possibility. I would just be concerned that trying to steer the trailer with the tug this way would lead to very high side forces (on both tug and Escape) and might be difficult. If the ball centre is not at the height of the Escape bike rack receiver, I would share baglo's concern about twisting that receiver.
A quick internet search found Curt makes one for a Tundra
CURT Manufacturing - CURT Front Mount Hitch #31198
Yes, and so does Cequent (as a Draw-Tite):
Product 650151. eTrailer sells both:
2015 Toyota Tundra Front Mount Hitch