It's old data, but the Ideal Handbook #38 has info for the 22 Hornet, 22 K-Hornet, 22 Lovell 2R, Old K-Lovell, and the New K-Lovell.

The Lyman Cast Bullet Handbook has loads for the Hornet and K-Hornet 44 and 55 gr bullets.

Please My k-hornet is a Bullberry 10 inch so my loading is based on a very short barrel, but I have always started at moderate std loads, worked up until very minor primer flattening occurs and stopped somewhere accuracy is found. My issue is a very very tight chamber coupled with a case design which hides very well pressure excursions. Once I've seen primer flattening,it goes from flat to primer failure in .2gr. Especially with powders like lilgun. 2400 is very forgiving having been developed for it, 4227 as well. I'm very fond of 4227 but in short barrels leaves much unburned.. Your rifle will consume it very well. You don't need specific data, start with std and work up looking at primers.

I've used federal small pistol and match primers as they seem to be the weakest primer I can use allowing lower ES over the chrono. Since they are soft cups, they rupture early and offer a very good indicator of pressure for hand loading, tantamount to a pressure transducer. Any other primers are too hard to offer the resolution of pressure. Your action will take more than the case head will, no need to worry about serious case failures working up. Just watch the primer (federal small pistol).

My experience. Btw: aside from velocity increase, the k has never proven to be any more accurate, notably, than my fire form load of 4227. That saddens me in my case. But the velocity improvement is substantial.10 percent plus plus minimum. 

One more thing, I tried to launch some (jacketed in all references, cast run like butter as they should) 55s and a 55 on a case full of powder (appropriate charges) is a grenade waiting to go. It amplifies the above primer action, I'm sure there is twist, chamber dimensions, etc at work but 55s are very difficult to ride the razors edge or even a bit below that edge. Every other lighter bullet behaves very well. That cliff becomes very easy to jump off of and can be unpredictable.

The Rifle was nearly destroyed. The primer had disappeared and the Gas had vented through the Bolt and had blown out the Floor Plate and Magazine parts. It had then split the stock fore and aft to the Forend tip and the Butt Plate at the bottom tip at the back end. We never did find out what the owner had done to create all that pressure. Loading error, wrong Powder, 
obstruction in the Barrel. He had done reloading in the past but somehow went wrong here. So do not let the small size of the Cartridge fool you. This caliber has enough capacity to lead to trouble. HTH Regards, FITZ.