Never tried to live bend a recurve but have "trained" many trees over the years in a production orchard. What you suggest will work , if you have the patients for it. You need to start small(1st year growth) to get a good bend without causing damage to the live wood. You can bend 180 degrees in 12" no problem on a fast growing sucker. Then you need to hold it in the shape you create while you wait on the tree to gain the size you want, several years.
Some things to consider....I bend central leaders(tops) of trees to slow tree growth, so by doing so you will need to wait longer to harvest your stave. Also, trees like to grow towards the light so if you bend them away most likely they will try and branch out to start a new leader growing towards it intended target(the sun). I think you would end up with a knot on each recurve, one on the back and one on the belly. You could cover the trunk to protect against light and branch development, that may help.
All in all I think its a great idea however I'd be more inclined to do everything it could to grow the straightest , knot free tree I could then steam bend my curves in. I think you would still need to even the recurves out in the end anyway. Sure would like to see the results if you try it but think its a lot of effort and time. Anyways that just some stuff to consider.
Mike