That's a pretty good plan, Mr Monkey!
If I might offer a suggestion - you're providing much, much more than "a good cell count". You're actually considerably
overpitching by knocking out onto a yeast cake. In lagers, that's not so much of a problem, but with ales - even clean American styles - overpitching prevents ester formation crucial to excellent beer. In fact, I agree with JZ that knocking out onto a yeast cake makes inferior beer compared to beers fermented by pitching the appropriate amount of yeast.
Far better to harvest a proportion of that yeast cake. You don't have to wash it if you're going to use it straight away. For appropriate amounts, consult the
Mr Malty Pitching Rate calculator or the
Yeast Pitching article on the HBT Wiki.
This method has the added benefit of permitting ten or more generations instead of three! In my opinion, the pluses - more generations (more savings), better ferments, better beer in the package, managing yeast like a professional brewer - far outweigh the minuses - scooping yeast slurry into a sanitized Mason jar. Your mileage, of course, may vary.
Cheers!
Bob