Do NOT settle for some sorry-ass coil-tap!
Keep the stock selector switch, and add a double-throw-double-pole switch & pot combination for either the Tone or Volume control for the humbucker. And wire that switch for Series/Parallel selection.
You retain the humbucking noise-reduction of the pickup in either switch position, while getting clear, near-single-coil sound in the Parallel position, and hot full-bore humbucker sound in the Series position.
For something approaching the sound of a Strat in the 2 or or 4 PU selector position, add a Phase swith to another of the pots.
A well set up Tele seems to sit up and talk to you. There's certainly no harm in giving it some extra voices!