The only reason it would be flooding is because there's too much gas going into the engine. A stuck inlet needle/seat to the float bowl is the most common. You could also have a choke plunger stuck open, which would make the air/fuel too rich. Other problems could be a float that is not set correctly or a hole in the fuel pump diaphragm that will allow fuel to enter the crankcase via the impulse line.
I'd remove the carbs and check the inlet needle and choke plungers first. The plunger should move freely in the bore and there should be a neoprene seat in the bottom of the plunger. It's normal to have a small groove in the neoprene, but if it's really worn, you may want to replace the plungers.
Having the back higher than the front will slightly increase fuel pressure, but in a properly operating system, that should not contribute to flooding.
When you are trying to start it, and it starts to flood, don't apply the choke. Hold the throttle open wide and crank a few times to clear out excess fuel. And when applying choke to a cold engine, don't touch the throttle; the enrichment circuit in the carb needs the slide to be at the bottom to work properly.
How much play is in the throttle lever? The spec for that is 0.010" to 0.030". If there's too much (or too little) the throttle safety switches could be activating, keeping the engine from starting. That's something else to check...
2007 RMK 700, 2008 RMK 600, 1995 AC Prowler 2-up, 1980? AC Cheetah