String follow, or set, is caused by the wood cells on the belly of the bow collapsing do to stress. The amount of damage will determine if it can be overcome. Adding sinew or other backings will not prevent set if the belly gets undue stress...and sometimes can cause more.
I have successfully eliminated some set in selfbows by heat treating(tempering) the belly of bows but you will get better results by tempering before you stress the wood. Once the damage is done, the damage is done!
If it were me, I'd start another bow and be a bit more careful as I educate the wood. Lots of exercise between wood removal sessions, not taking the bow beyond it's ultimate draw weight or draw length, especially while tillering and not getting rushed or aggravated. Be thoughtful with each wood removal and think ahead of what you are doing but get there when you should and not when you want to.