Re: does a tele and LP style 2 way exist ?
I'd just flick harder for the LP. The middle position on those switches is extremely easy to ignore. Or if you miss it, just bring the guitar up and fix it with your teeth or your tongue as you play. Turn a mistake into bonus rock god points!
For the Tele, the positions are a bit more positive/stiff, so I can see accidentally getting hung up in the middle. (Though I cannot say that I have. I usually get hung up in the bridge position because the switch tip sits so close to the volume knob that I miss the switch sometimes.)
This might sound weird in response to a request for fewer switch positions, but you could try installing a 5-way in the Tele. I say that for two reasons: 1) Because I find that they are generally a little looser than 3-ways. The middle position is actually the hardest one to land on IME. I often get a notch position when I intended to get the middle. (I have actually installed 3-way switches in two of my Strats to get around this.) 2) You could wire it so that positions 1 and 2 are the same, and 4 and 5 are the same. (I think you'd have to bend those little connection tabs from the middle position to the blade out of the way to do it.) That way even if you mess up and don't get the switch all the way to the other end, you are likely to land on one of the notch positions and get what you intended anyhow. And you'd get a kill switch in the middle position.
I am also thinking that maybe on the Tele switch there is a way to file down the notch on the little wheel inside the switch, so there is no detent in the middle position. Along that same line of thought, have you tried the Tele switch without a spring?
