I often slice uneven chunks of wood on my bandsaw. I had a similar (though no-where near as bad) incident when the blade grabbed and kinked itself ruining the blade and the piece of wood.
After that I decided to try and create a safer method for doing this kind of work. I made myself a bandsaw sled, very similar to a table saw sled with a fence at the back. Not only does this make feeding the wood into the blade much easier, it is also safer since my hands are much further from the blade should something go wrong. The biggest improvement though is that because the wood is "stationary" on the sled, rather than moving on the table, you can use shims to level and support odd shapes, this stops the blade from grabbing. When I am working I have a box next to containing all sorts of offcuts, shims and wedges, after making each cut I move the wood, see where the high and low spots are and then wedge it as required. It only takes me a few minutes to set up the sled, get out the shims and get working, however since that day I have never had a blade grab or get damaged.