I've done a lot of custom jerseys and other gear for paintball teams, bull riders, sport fishermen, and other athletes and we've used Dye Sublimation to do runs as short as one piece. The cloth is definitely not silk though. The fabric is called "Evapor8" and is a moisture wicking material that is also pile, shrink and fade resistant. Essentially I believe it's a nylon of some sort (I'm on a business trip and can't get my hands on one at the moment to check). We've used the process to print banners, mousepads, and a ton of other things.

Anyway, it's not silk, but it could work.

The drawbacks might be that since it's on such a flexible fabric, the map could be off unless it's laid out completely flat and isn't stretched in some manner, and the fabric like any other nylon, is going to suffer from pinhole burns if you get it too close to the fire and sparks hit it.

I don't want to get kicked off the board for dropping names since I work with a company that does this, but you can Google:
+"Dye Sublimation" +Paintball
and find quite a few places that do this type of work.