Here's one thing that may help - connect the Sweetest Whispers as they are connected in the Foreplay III. That just means to connect the tube grid (A2 or B2) to switch terminal 11 instead of the "A" tab in the center of the switch. (Leave the wire from the selector switch to the "A" tab unchanged.)
When the switch makes a momentary bad connection, in normal shunt mode the full input signal is connected to the tube through the 360K resistor, which provides very little attenuation - that's why the "pop" is so loud. With this change, a momentary bad connection disconnects the input from the tube completely, resulting in a much quieter "pop" - often inaudible.
Of course this does not address the momentary bad connection problem. No switch is perfect, and unfortunately inexpensive switches are quite imperfect. We think this switch, which is more enclosed than the one used in the old Sweet Whispers, is at least better protected from dust and likely to last longer, but sadly even quite expensive switches have these glitches occasionally.
Incidentally, I would recommend getting some spray contact cleaner and avoiding the use of rubbing alcohol, which usually has a bit of glycerin dissolved in it and can leave a residue. It won't solve mechanical problems, but it will prolong the time before the contacts get gummed up.
One final point, the Stereo 70 is quite sensitive, and would benefit from an input attenuator so the preamp can operate at a higher signal level. There are a few posts on this forum about it, and on the Bottlehead Community page you can read my white paper on signals and noise if you are interested.