>>1194422Not all road bikes can handle the force applied from the coaster brake to the chainstay - it has to be made of beefy/heavy tubing! There have been horror stories of someone installing a coaster brake on a bike that's made of quality steel and bending the chainstay.
Pashley makes a bike like that, I've owned one and it was okay. It had a Sturmey-Archer 2 speed coaster brake hub but operation was a bit inconvenient (pedaling backwards both brakes and changes gear) so I swapped it out for a conventional fixed gear hub.