Even a cheap bandsaw can work wonders. At the woodworking show last weekend there was a 20+ year old Craftsman 12" bandsaw in the Carter booth. Alex Snodgrass demonstrated how well it could resaw with a 6" thick glue up of mixed hardwood boards. He resawed off a slice almost thin enough to read through, maybe a 16th thick....perfect thickness, no bow at all.
I am sure he had that baby tuned within a gnats eyelash, but still...it was a plain old Sears saw.
Like my rich buddy says, "It's not the arrow, it's the Indian".
Rick Potter