I've made up some "honky tonk" versions of some old-time tunes. Yes, I use a stride left hand, or a fake version of it if I need to because the tempo is really fast. And for the right hand I imitate the banjo player
So the left hand plays the tonic of the chord somewhere an octave below middle C on the first beat, and then plays the chord up around middle C on the off-beat (the back beat, the *and* of the beat, as in "one-and two-and"). Then on beat 2 play the 5th note of the scale somewhere below where you played the tonic, and the chord again on 2-and. That's hard at speed. To "fake" it (which on 90% of stuff is the best I can do) just spread your hand over an octave, either on the tonic or the fifth, and play the tonic on the beat, the fifth on the second beat, and whatever you can reach that's in your span on the off-beat. Works for me.
In the right hand I play the melody usually with the pinky, and it's usually on the beat, and fill in the off beat with a note from the chord. Sometimes I will syncopate with both notes together at the end of a phrase.
So the left hand goes "oom-pah" on the beat, and the right hand is sort of "finger picking" the melody and the fills.
That may be more than any one wanted to know, and may be what most folks knew to start with, but it's the way I first approached it conceptually :p