The air plenum drain, the filter box drain, and all four of the carb overflow tubes are all routed behind the engine and in front of the swing arm pivot.
Only reason for them to get active is if the carbs float valves aren't closing as they should. All these tubes need to be cleared of insect nests so they can do their job. if the air box is filling the tubes are probably plugged, and there is a reasonable change that the carb intake runners filled with gas, too. This would seep past valves and rings and dilute the oil supply. So check the oil for too full and reeking of gas. Finding this, change the oil. Then track the carb float valve cause and correct.
Rust in the tank and a corrupted fuel filter can block the carb's float valves open, as could other sediment.
You never told us, but we have to assume your bike is all stock, since you didn't inform us of any changes to the make and model you mentioned.
Cheers,