It's worth it to check the fuel bowl for any obvious issues, but I doubt it's the float or anything associated with it. The most common issues would be a sticking needle, or a sunk float - both of which would result in the carb gushing fuel out the vent tube.
If you open the choke and open the throttle while looking down the choke horn (with the engine off), does the carb spray a sustained stream of fuel through the venturi?