If you trim off the bumper irons so there aren't any sharp edges and bolt them back in you could run bumperless. You'll need to find somewhere to locate the indicators, but you could easily use Land Rover items screwed to the front of the car.
It is the bumper irons that are structural, not the actual bumper itself.
As has been noted you'll need the front valance from a small bumper car, so you don't have a gaping hole at the front of the car.
I don't think the rears have any structural role either, but you might like to plate over the holes that are left, or fit a filler to the remaining bumper iron, so it fits snugly in the hole that's left. There will also be a few brackets left which will need removing and then the fixing holes would need welding/filling up.
Go for it, it'd be good to see something that different.
