They should just find a new member the way everyone else does - by starring in their own reality show. It worked for The Pussycat Dolls, INXS and even TLC are finding a new L for the T_C.
Personally, I would contract the Jim Henson Creature Shop to construct an animatronic Christine McVieBOT. Christine could simply sing her parts from her cozy living room and her vocals could be transmitted via satellite.
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