I've never shot one and can't help on the value, but...
www.reloadbench.com/cartridges/w224hkc.html
224 Harvey Kay-Chuk
Historical Notes:
The late Jim Harvey of Lakeville Arms co., Lakeville, Connecticut, developed this cartridge about 1956-57. It was intended for converted S&W K-22 revolvers. It is based on the K-Hornet wildcat cartridge, but there is also a 224 Kay-Chuk Jr., which is the standard 22 Hornet case trimmed back slightly. This cartridge is noted as being the inspiration for the Remington 22 Jet cartridge.
General Comments:
The idea of a high velocity 22 handgun cartridge appealed to no small number of handgun hunters. What they wanted was light recoil combined with flat trajectory. The 224 Kay-Chuk accomplished this better than any previous handgun cartridge and, in fact, is superior in performance to that developed by the S&W 22 Jet revolver. A light 37 grain bullet designed by the late Ken Bellah, a noted writer and firearms authority, is usually used. He did much to introduce the Harvey designed zinc base half jacketed revolver bullets. The 224 Kay-Chuk is one of the most effective small game and varmint cartridges available for the handgun. Unfortunately, it's a wildcat, hence not available on an over the counter, commercial basis. It has a straight body and sharp shoulder, unlike the long taper of the 22 Jet. Users of the 224 Kay-Chuk do not have the same extraction trouble and sticking cases that bother some 22 Jet users.
Source: Cartridges of the World
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224 Harvey Kay-Chuk Reloading Data
Bullet (grs.) Powder / (grs.) MV ME
40 SP 2400 / 9.5 1652 254
40SP Unique / 5.0 1650 242