OK, she definitely looks different than I expected-- much more gold, much less black.
For the original question, crossing her to a blue male should give some chicks with a lot of blue and some with a lot of black, but now I think they may have pretty large amounts of either gold or silver as well.
Since he is a bantam, the chicks have a chance of being small-ish when they grow up, although that does not always happen. When they first hatch, they should be the same size as any other chicks hatched from her eggs (because egg size determines chick size.)
Since he is a Cochin, I assume he has feathered feet. His chicks will probably have some feathers on their feet, but not as many as he has.
We know she carries the lavender gene (from her lavender father), but it doesn't show in her because it is recessive. If she is bred to a rooster that does not carry the lavender gene or show it, then she should not produce any lavender chicks. Half of the chicks will carry lavender, the other half not.
With the current rooster, if she is producing any chicks that show lavender, then he must carry the lavender gene just like she does. That cross should produce about 25% lavender chicks, which is pretty close to the "about 20%" you said you were getting.