Ok, I experimented with all three options above.
precipitato: I agree with you on the thumb on black keys. I try to avoid this as best as I can. Quick question though on what you term the "formal" set. You mean the 5-2-2-3-5-2-2-3, or the printed one?
ramseytheii: Though I agree with precipitato in general on the thumbs on black keys issue, I like your fingering a lot for this passage. I was able to get up to speed very quickly on it, and my hand seems to remain the most relaxed at speed. Desperate circumstances call for desperate means, and since this sonata breaks so many conventions in its writing, why stick one that holds you back while playing? 
yeap, i mean the 5 - 2 - 2 - 3 - 5 - 2 - 2 - 3.
I am also working on Moments Musicaux No. 2 right now. In the edition I have (here from Pianostreet) there is a passage in the second section that is fingered with the right thumb landing on the F# at the end of a phrase. I.e. whoever fingered this one found it perfectly acceptable to finger the thumb on the black key. And it is in print.
Funny though - it did not feel right to me, I did not like it, and I refingered it with the phrase ending on 2.
You are right. it depends on the situation, the phrase, and the entire position of the hand. And preference.
yes what you are saying is also right in some sense, but we also must look. in this case, tempest was composed in those times, 1801 - 1802, when it is still the peak of classical period. so, avoiding black keys with thumb, yes it is a old techmique. moments musicaux is something way beyond that time... and look into further works, for example later beethoven sonatas. there is using thumb on black keys more often, i am doing the appassionata and thumb on black keys is started to be used. but tempest is still... you get what i mean? but no i do not object with using thumb on black keys, it is perfectly fine.
and tempest is something i am very familiar with, i have toyed witht his score in almost every bar and phrase, this is the best i can come out with, at least to my fingers. ending with 2 is what i meant on purpose, as after that you use your middle finger to give an accent, after all it is a strong finger.
and mentioning on using pinky on notes... hmm i suggest you begin to build your pinky muscle and tecnique? as when you move on down, to huge works and transcriptions by liszt, concertos, those very advanced works, these things are used very often.