When you go back that far, the ride cymbal, or the concept of riding a cymbal didn't really exist. Most time keeping was done on the snare, a press roll, where the right hand taps 1-2-3-4 with the left hand dragging a buzz on 2 and 4. The bass drum is played on all 4s for slower numbers, 1-3 for moderate to faster tunes. There was also the use of temple and wood blocks for time keeping, which was played with rudimental patterns and not really "riden." There is one method used live involving a splash cymbal, which was hit and choked right away on 2 and 4. Paul Barbarin used that frequently.
Actually when I think about it, I'm not really sure who first used it or how they came up with it. It was probably influenced by washboard players from the 20s. I'm thinking I could hear that pattern on an old Zutty Singleton recording, I'll look into it more. edit: ahh yes, you can hear him using it on a bunch of early Jelly Roll Mortan Trio recordings dated 1929. So there you have some nice little trivia now.
Anyway, a "hot" cymbal is purely subjective. There isn't really a definitive sound for that, it is the first time I have ever heard that term. Well stick with O-lugs suggestion and you should be fine, you wouldn't be using cymbals alot anyway so good luck wit the gig