I think ST's right; you could probably get any of the outfitters to do it for a price.  

Ed Ottertail, out of LLC Village, has done it for me a couple of times (shuttled vehicles from Beaverhouse parking lot down to LLC).  I gotta believe that Dave Ribey (Quetico Wilderness Outfitters on Flanders Rd), Doug Chapman ("Canadian Quetico Outfitters" near French Lake) or Canoe Canada would do this sort of thing.  Since you're only talking about the 25 miles or so from Nym to French, I'd go with either Canoe Canada or Doug Chapman, due to their proximity.  Actually, I'd almost certainly use Doug Chapman because: 1) he is far more entertaining & 2) his credo is basically: "I'll do it YOUR way!".  Just ask MagicPaddler or Kingfisher re: his help during their infamous bushwhacking foray into McKenzie Lake.  Not many outfitters would have tackled that kind of trip offering THAT sort of service (special permits, dubious roads, etc.).

Doug Chapman would do it, I'm certain.

Jimbo   8-)