WELCOME!!!
Unfortunately the 22Hornet was discontinued from the H&R lineup some time back. You would need to find a used barrel and fit it to your reciever. Then rechamber to the "K". A number of guys here have them and most find excellent accuracy with it. Its a good caliber! I have thought about it myself more then once, but with the accuracy I am getting and the fact that I also own a sub 1/2" MOA shooting .223 I really do not "need" a "K".
As for the 17Hornet, I hand reamed two of them and screwed them both up doing it!! One ended up a 17 Fire Ball ( Thank you Larry!!) as its octagon shaped chamber would not extract. The second one is not as bad, shoots very well but will "work" its brass a bit more then it should. #'s of reloads before the brass is shot will yet to be learned.
IF you do a 17 Hornet, let someone with a Lathe do the re-chamber.
Best of luck & nice to talk to you,
CW