Okay, I'm answering my own question since I figured out at least one solution. Probably pretty basic stuff for anyone that's familiar with Muse and publishing, but this is my first Muse site.
From Muse, export the html files to your local drive.
View the site in your browser and check for image quality.
Replace files in the "images" folder that are not good quality with images that you've optimized manually, making sure you use the exact same file names.
Refresh your browser to view new images.
I'm testing on a 72 dpi desktop and a hi-res display laptop. It doesn't look like the files I'm using are too large. Pages should still load quickly.
Once your satisfied with the new images upload to FTP host.
I think this works fairly well, but if anyone has a better method, please post. I also am interested in using business catalyst to track traffic on the site. I would imagine you can simply replace image files directly on the FTP server if you publish using Catalyst.