The replacement Deere cutting edge is part #M42868. Roughly $65.
I'd buy a new one (just so that you have a straight part that isn't worn at the ends) and then do the stall mat recommended above. Skip the skid shoes. They're really not intended for use on asphalt and I managed to grind a pair down to nothing about half way through last winter. They just don't last.
The stall mat (rubber cutting edge) will wear but, you flip it over next year and, as mentioned, for the $30 it costs to buy one, you should be able to cut 6 strips from it. 6 strips x 2 edges on each = 12 years of use.