The Falcon Engine sounds promising. Great work.
I enabled it but had issues with WPTouch I use for mobile devices. WPTouch was all over the place.
With other caches I've used on other sites with WPTouch I can exclude mobile user agents from using the cache. I pass them through and then on to Infinity Cache which comes with the Pro version of WPTouch.
Any chance of having the same user agent exclusions with the Falcon Engine?