Tony, please forgive me butting in to this thread, but I think this would have to be a trial and error case - i.e. change the mounting and see if it makes any difference. I've just been thinking about the science behind tone (the thread about bars in the Steel Guitar Cafe forum), and I figure that, for a pickup, you want it to ideally remain completely still whilst the string vibrates in the magnetic field. Or at least from electric guitar theory, the output signal is created by the string vibrating with respect to the pickup's magnetic field, so if the pickup is absolutely still then you should get the 'true' sound of the guitar coming through.
If the pickup also vibrates then the effect could be either a bit more signal (if it vibrates out of phase with the string), or a bit less signal (if it vibrates in phase with the string). I can't see this effect being particularly noticeable though, as the strings will vibrate up to maybe 1mm peak to peak, whereas the pickup might move a couple of microns at the same frequency! The resonance of the guitar, i.e. the sustain from the cabinet, should not be affected by the pickup mounting unless there is loads of foam rubber acting like a damper on the cabinet - but there would need to be lots and lots! I just googled the Telonics 84 pickup and found a nice document by Telonics which also includes installation instructions - don't know if you would already have this but here it is:
https://www.telonics.com/products/proaudio/downloads/Pickups_InstallationAndUsage120611.pdf John's suggestion of a solid mounted pickup sounds like a good place to start - I believe that the only real purpose of springs or rubber on the adjusting screws of pickups is to keep the pickup in position, and stop the vibrations from causing the adjusting screws to turn. I just looked at my Sho-Bud and the pickups are mounted to the cast section via very very strong springs - near enough solid. No way those are going to turn on their own!
I'm very happy to be corrected on any of the above - I am thinking about this from an Engineer's perspective, but I have no experience of modifying the pickups in steel guitars. I'm just a bit over-enthusiastic about the scientific side, mainly because I am better at that than I am at actually playing the guitar!
Hope you get it sorted anyway