Let me speak from personal experience.
Try to weather the storm. The 2-3 kicks he may get off, might hurt but whether the storm and still charge forward. Try to get on the inside as fast as possible. I would say take the peek-a-boo guard and charge right in until you get right against his body. Then do work.
I know exactly how it is.... Because I was in the same situation as you before but I was the taekwondo guy.
Oh yeah. Don't listen to any punch the feet bull**** and there is no such thing as a 'kung fu' style.