Looking for a bumper with a hitch receiver that can handle a dirt bike carrier

Brother Hood Of The Blue Cloud.
My 44 year old 510cc Smoker goes everywhere team Orange does.
The added bonus is the Blue Cloud is my way of telling Tree huggers to Piss Off.

Yammy and Ossa.jpg
 
I have hauled on the rack bike rack not on the TJ but on the FSJ.

Rather than a Bumper with a hitch you need a Hitch Receiver Mount they are much stronger.

I would go with this one:

https://www.etrailer.com/Trailer-Hitch/Jeep/Wrangler/2003/13408.html?VehicleID=20035513
Front Mount
https://www.etrailer.com/fmr-2003_Jeep_Wrangler.htm
You will want to use a couple of ratchet straps from the end of the ramp of the rack up to
the body of roll bar to keep the rack from wobbling in the receiver tube.

The Curt brand are well made I have the 16k one on my C-20 to haul my tractor and it trailer.
 
Most bumper included hitches are not rated for towing and I wouldn't use those. I purchased a Turk trailer hitch back in the day I believe. It ties into the Frame and is a Class 3. Not that you can tow anything that heavy. But, it works with my KTM 250 XC-W which weighs around 230lbs. I use the the Cheapo Harbor Freight Motorcycle carrier. Tongue weight for the Turk trailer tow Hitch for the TJ is 400lb.