Part of the problem is that Polyethylene plastics ( the PE part of LDPE ) are what you use when you do not want things to " stick " . That is why they can be hard to print to ( numbers wear of quickly etc. )
That limits you to what you can use as a sealer .
Also you need a coating that is " soft " enough for the rotary cutter to bite .
In NO way do I recommend doing this ( do not think the results would be worth it , even if you could make it work ) , but you could try flowing on a coating of Envirotex .
Once again , do not think the results would be worth it at all !