Jeff,
why spherical mercator? What is spherical mercator? A mercator
projection on the sphere?
- how about a (Lambert) azimuthal projection with projection center in
the circle center?
http://en.wikipedia.org/wiki/Lambert_azimuthal_equal-area_projection
Btw. if you have only 100mile.. that is not so much. So the question
rather is: What accuracy to you need? [1 m or 100m?] Unfortunately I
forgot how much distortion you would get for 100miles in UTM (which
depends of course on the latitude).
btw. a tip: along the touching meridian and in equator direction one
degree is approximately 111km (derived for a sphere of radius ?6373km?).
This relationship could be helpful for conversions.
stefan
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