The Grizzly Century route may be relatively close to Mammoth as the crow flies, but might as well be on a different planet via driving distance.
From Mammoth Lakes, ride south on either US395 or the "scenic loop" (SR203) out of the back of town. Ride to the June Lakes Junction, turn left and ride the June Lakes Loop. Lunch at eithet the Tiger Bar in June Lakes, or a little further in the loop you can stop at the Silver Lake Lodge. Continue on down the loop on a wide open and scenic descent towards Mono Lake. Re-join 395 and ride north back to Mammoth Lakes.
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"Love is not the dying moan of a distant violin, it’s the triumphant twang of a bedspring."
S. J. Perelman