Hi Rob,
The way I see it is that, with only '2' images, you have no ability to do anything 'statistical'. I would suggest that you just try a simple 'Average' (personally, I would even do this in PixelMath, not ImageIntegration).
Then you might just want to get rid of all the small-scale data in one go - an all-image 'blur' so to speak (applied to your RGB combination). Finally it will then just be a fine balancing act to bring in your higher quality L data (as an LRGB combination), hoping that you don't blow your colour away altogether.
Good luck!!
Cheers,