Differential amplifier design with input-side biasing??

I need to design an amplifier that takes in a differential signal (call
these inputs A and B), adds a bias C (where this signal is referenced
to amplifier's ground), and applies a high gain (G ~= 100). In other
words:

Output = ((A-B) + C) * G

I need this operation performed for two channels, and I want to
minimize the number of ICs and components required. High CMRR is a
plus. In an earlier generation of this design, I was performing this
operation using an instrumentation amplifier (where bias signal C was
added after the gain, i.e.):

Output = (A-B)*G + C

But I've realized that I definitely need to be biasing before the gain.
Any creative ideas?

Best,
Chess

.

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