If you can find mechanical switches you like that is your best option. Lacking that, nothing stops you from ripping out the electronics and putting in the controller from a mechanical keyboard. It would be a lot of work to trace the circuit board and figure out where to jump in (and what to cut out), but any mechanical keyboard controller should work (QMK seems to be the most popular today)
You seem to not have read/understood OP's problems. He stated mechanical switches are not what he wants. Now if you can suggest switches with a membrane feel that would be helpful - I'm not aware of any but I don't know everything.
I figured that if they have the same feel as the membrane, them being mechanical is not relevant, as OP never gave a veto on mechanical options. I looked up the estimated travel and actuation pressures for those offerings in comparison to the Logitech.
