+1 on the coping saw. Jigsaws are convenient and quick, but the blade can wander in the cut.
Coping saws, whilst a fair bit of work, will give you more precision and control. If used with restraint you can cut reasonably close to your profile, then clean up with rasps, files and sanding cauls.
Examples:
https://www.buildyourownguitar.com.a...ead.php?t=9173
https://www.buildyourownguitar.com.a...?t=7399&page=9