You've gone down the road this far...why not go a little farther??
I have followed this thread and I'm guessing an oversized chamber...and maybe the dies are on the smaller end of the tolerance range. I would like to get my hands on that barrel and die set and do some measurements and testing and other examinations...it is extremely difficult to diagnose at long range.
I would try loading the bullets into the lands so the round is firm against the frame and working up a load...you do get a bit of a pressure spike doing this but as long as you don't go nuts with the powder, doing so is just as safe as any other reloading process...and you will get just as high a velocity or maybe higher...you just have to chrono the loads to be sure and watch for pressure signs.
It might just be the cartridge not the rifle that is causing the problem, or a combination of many factors...chamber, firing system, dies, loading proceedure, etc.
The 35 cal is an excellent caliber with many very good bullets...I wouldn't quit on it now.
You might try 9.3x62 brass...RWS, Norma, or Lapua brands are just enough larger than REM/WIN 30-06 or 35 Whelen in the various dimensions that it might fill out the chamber better and stop the FTF...
Doing as Tim and Mauser suggest would cure the problem. I don't really like the short neck on the B-W and you have to be careful fireforming so you don't get a headspace problem...stick the bullet into the lands and use a medium load...or go one step farther and do a 35 x 3.25"(45-120 case necked down) and get a longer step up in pizzazz AND a rimmed case...we're talking MAGNUM stuff. The dies will cost the same from CH4D I think. And don't forget the belted mag cased 35's or shortened RUM cased wildcats(as long as your loads stay within the pressure limits of the NEF frame!!!!)
You will definitely be a few notches above the rest when it comes to bragging rights.
If not, I think there are several standing in line that would take the barrel OR the whole rifle off your hands for what you have in it...and make THEM pay the freight.
I would offer if I didn't already have way too many shooters...a 35x3.25" reamer would quickly be ordered.
There are many more things that could be done but haven't, but if you're like me, once you get down on something their AIN'T no getting back up.
Luck