Electronic – Choosing output filter inductors for switching power amplifiers

I don't happen to have any 10uH coils, but I have plenty of 22uH ones

Wire two in parallel to get 11 uH - this is near enough 10 uH so I don't see a big issue given that inductors are usually toleranced at greater than +/- 10% (yes I know there are exceptions)

That calculator is no good for what you want because it assumes all the "turns" are stacked on top of each other and that doesn't work for VHF and above because of inter-turn capacitance causing unwanted resonances that will fundamentally ruin performance expectations.

At VHF you need to use spaced turns and this largely solves the problem of unwanted resonances but significantly alters the relationship between inductance and number of turns. With a helix type inductor, all the turns don't couple to each other so instead of inductance being proportional to turns squared it's somewhere between "turns" and "turns squared". You need a proper "air-cored" (or helical) inductance calculator that not only has number of turns as a parameter but the overall spacing dimension for those turns such as this one: -

Can I really replace an inductor in RF circuit which is expected to be x turns of y guage wire of z diameter by an inductor which is x1 turns of y1 guage of z1 diameter.

Within reason you can use a similar wire gauge but why bother when you have the above calculator - mimic the inductance by tweaking length or number of turns to give you what you want.

Here is another calculator that looks good: -