Michael,
I can surely see that if it were a true biweekly requirement of cleaning out your filters that I would indeed devise a better disposal method of the bottom half of your filter tank. However, having to clean it every 2 weeks is indeed a chemical balancing issue, not a filter issue.
W a CYA of 70, your FC ratio to kill mustard algae might be in the 40-50 range [mental math]. Therefore, you need to drain your pool to get CYA down to 40, then examine your true FC/CYA ration to determine your mustard algae FC level then perform your OCLT test. Cleaning filters every 2 weeks would drive me insane and I would drive my wife and girls crazy too.
So, if you have only 7k gal, drain 1/2 of it, then refill and test your CYA. You can go ahead and dump in a gal of bleach too w the refill just to keep your mustard algae at bay, but know that it's only a buffer/precursor to what our real FC requirements will be once you determine them. Mustard Algae requires doubling FC's as opposed to normal algae. Once you run your FC at high levels for 2 days, brush everything twice a day, then do your OCLT. Once you get stable OCLT tests for 2-3 days, clean your new filters and you should be good to go. I would recommend keeping your FC levels in the 10-12 range for maybe 4-5 days after your higher levels start to descend bc this will hopefully kill any possibly newer spores...then as Jim stated, you can clean those filters 2 times per year.
Finally, if you do not have hair nets installed in you skimmer baskets, do that too...this REALLY catches TONS OF DEBRIS that would otherwise go to your filter and further reduce your need for filter cleaning. Do a search on the site here for thread alluding to the hair nets, but they are basically white polyspun hairnets and go for 100 for 5-6 bucks...you will never ever regret that investment.
Good luck my friend and Merry Christmas to the Islands - tstex