Its a lot easier and possibly cheap: take an arbitrary single coil - a reasonably sounding cheapy is sufficient, remove the winding and rewind it with 500 turns of 0.2 mm wire.
It will have its treble resonance roughly in the 30 kHz range.
As the number of windings is of the order of 10% of a High-Z pickup, its output will be reduced by roughly 20dB. Sufficient to drive the microphone input of a mixing console but still large enough to drive a normal guitar amp. Played through a PA such a pickup will have a nice "acoustic" tone.
Well, actually the treble resonance needs to be damped by a parallel resistor of around 2.5 kOhms, which might be a volume pot.
Other, more traditional electric guitar sounds may be obtained in the usual way (i.e. similar to the Les Paul Recording) by adding parallel capacitors and also damping resistors. Good values are typically in the range of 100-750 nF. Similarly to C-Switches in Hi-Z setups, larger parallel capacitances may also require stronger damping.
A while ago i tried the concept in this guitar - note the additional hexaphonic pickup which, btw. is also just six individual LoZ pickups on a rail, one per string. The other pickup has been a cheap chinese tele neck pickup with a bar magnet underneath rewound as described above. If i did it again, i would use a pickup skeleton with 6 alnico rods.
Originally in traditional tuning, the guitar is now set up with strings .011-.080 and tuned in fifths: EADGCF, i.e. like a cello with additional treble and bass string.