Spoon, I see your point, but respectfully disagree.
I'm with Will641 & Chopper here. I think you drastically under-estimate 2 things here: First the likely hood of his calling with a 6 on the river & second his range.
You'll have a bunch of 6's call in the name of "being pot stuck" or even by sheer frustration of being draw out on. I also don't think his BB range is as tight as you indicate either since this is a blind war. He might call you w/ K6s or even 76o.