I have a Trek 1200 and there was no way SKS P35s were going on even though the frame and fork has eyes. There is just not enough clearence with the standard tyres or Michelin pro races.
I did hear you can get Salmons on with 20c tyres but frankly I wouldn't want to ride such a set-up.
I think raceblades are your best option and accept that you just aren't going to stay completely dry.