Ok, here's a way to do with that requires zero skill at fighting games.
Pick Joe, fight against Kim, your 2nd fight will be Andy and then the fat guy.
All you gotta do is Down + B to slide kick. This won't always work but usually against the first few, rather dumb enemies. You can slide under projectiles and do a flying knee when chasing them into the background with the same motion. So you spam them with this until you get him backed into the corner. Then each time he's getting up off the floor, Spam X real fast to do a barrage of punches which he will usually block. Once the animation ends quickly slide kick while he's blocking.
This works almost every time. I didn't lose a round until the 5th fight, 2nd round on High Score mode, and by then my score was 120,000. Twice what I needed. Sometimes I can get perfects this way. It doesn't always work but I beat both Caravan and High score on my first try using this cheap technique and beat the whole game in less than an hour.