I do plan on doing the evening with a heat gun.
Got home today after work and finished up chasing the target ring, leaving a highly crowned back. It's not a perfect job, as this snake put up one heck of a fight. I think this will call for a line of sinew along the top of the crown that will hopefully assist the bow in keeping it's profile in the end as well.
Next step will be to mark out the front profile by drawing a centerline along the grain and measuring out the width along the stave. It's 66" long. It's gonna bend in the handle. I'm thinking of 1.5" wide running parallel out to 7 or 8 inches from the tip, then tapering to 3/8".
When I was chasing the snake, I left rings on the sides as this wood will be removed when I cut out the front profile. Here's a pic
P.S. Very funny DC