I recently had a tube pop and tire go flat just after performing a wheel landing. I felt the plane slowly tip to the side as the air drained out. I applied more and more opposite rudder and brake to try to keep the plane going straight, but once the tire was completely flat the pull to the side was too much. I ended up in the weeds with a bent wing, elevator, and landing gear.
I had not rehearsed this scenario in my head before hand, so I was not prepared with any quick tricks to save the day. My only thought was that the slower I was going when I departed the runway the less the damage would be. Since then, I have rehearsed the sequence in my head to try to be better prepared if this ever occurs again.
About two weeks before the accident, I noticed during the pre-flight that one of the tires had leaked down about 5 psi. I didn't think anything of it, but grabbed the compressor and aired it up. Lesson learned here is that I will never again just air up a tire on a tail dragger. I will air it up enough to taxi to the shop and replace the tube.
I have wondered if I could have held the plane on the runway with a little throttle to give the rudder more authority? Then again, power will just make you go faster when you hit the ditch, and potentillay cause greater damage. I also wondered about holding full left/right aileron. Ailerons create lift, and therefore drag, and could have been a help keeping the plane going straight (in the same way you use ailerons in a cross-wind).
So, How do you (safely) land a taildragger with a flat tire?