Inspired by PA0NHC mini-whip, Jonathan Hare's Antennas for MSF 60 kHz LF, and Ferrite Sleeve Loop Antennas.
Seems to work quite well! This prototype shows about 140 pF of input(or parasitic) capacitance when the tuning capacitor is set to 0 pF. That could probably be improved on by better layout on a custom PCB.