Fabric options for lining a sheer bodice?

Hello, I have a wedding gown that has a sheer bodice with overlaying appliqué lace/beading. I am wanting to add something to the bodice to cover up the cups while lessening the contrast from the ivory crepe skirt. I don’t want to line the bodice with the same ivory crepe, but instead line it with something that instead of making it white and losing all the detail, lessen the contrast while still covering cups. Has anyone done the or seen this done? I’m worried it may be too difficult to do