Flat towing 65 Barracuda

I have a 65 Barracuda with an Automatic Transmission. I was thinking about trying to flat tow it behind both my SUV and Motorhome. I was going to take either a 1/8 or 1/4 plate and mount where the front bumper mounts then weld some round stock between the 2 pieces to brace it then mount a standard "Y" shaped tow hitch on that. Any problems with that setup? Anything I need to be aware of with the car?