Okay, I have my Shur-Shot Jr. in hand, and the front plate off (snap tabs that won't break if I flex them just enough to come off the pins).
I had the shutter plates reversed in my mind. The rear one is the timing plate. Yes, removing it would give you a B shutter, but you'd probably destroy the shutter trying.
I see two potential ways. One is to install a stop to block the motion of the rear plate where the shutter is open; this gives a real closed shutter when the lever is at rest; the other is to install a block to just hold the rear plate in the open position permanently (which might lead to a little fogging if you expose the camera to bright light, essentially making a pinhole image of the back side of the front plate (it surely would fog the film a bit if you left the f/16 lens in place).
Let's see if I can quickly get a picture to where it'll make sense:
If you look at the two, um, wood-colored marks (been a while since I tried to actually draw anything in GIMP), the one to upper right is where a stop would make the shutter a conventional B. You could actually drill a hole in the front plate and put a plug into the hole, bottomed against the shutter plate, to give B, then pull the plug out for normal shutter operation, or make a slider bar that comes in through the side opposite the shutter release to do the same. The lower mark is where you'd put something to block the rear plate permanently open. I wouldn't do this except for a pinhole camers, and even then, I'd probably want to glue a piece of black felt or velvet onto the rear side of the paddle to improve the light seal (since the shutter disk doesn't have to turn against friction in that case).