Well +-1 degree for a feature designed to soften an edge seems a little ridiculous but here are approaches I would take:
1. ask the designer why the tolerance.
2. If you get a bunch of BS ask the designer how to machine it and measure the chamfer.
3. if he plays the superiority game on you, request that he make a part.
4. If that fails, go ahead and make one and measure using the two ball method. if they insist on the tolerance.. Then make one at say +-5 degrees and measure with a facsimile material removed from the tube (think Playdough). explain the difference in time. If they still don't see the light, play your trump card--bring purchasing to the conversation and explain the difference in dollars and cents.
A good engineer will listen to your ideas and respect you for your insights. If they are a lousy engineer or complete a-hole you may be forced to play the game. Just make sure you are confident enough to play the game without being a jerk. Collaborating minds are fun and often yield superior results.
So, long story short, I would use spheres at +,-1 degree. Looser tolerances I would try the facsimile method.