Now that is some serious solar set up.
A few things. If you are currently on the grid, check your power bill and find out just what you have been previously using....saves guessing. the only diff will be your light...probably insignificant.
At 24v you will be trying to charge them at 250 amps for your 6000w input. I dont think their life expectancy will be too flash at that rate. ie 6000/24=250A although at that rate your batt volts will be much higher and current may drop off to maybe 180amps...still over the top for these little batteries they'd be boiling madly.
I think that Nando has the right idea here. 120 volt system
In fact 40 batteries will be in a better position to accept the coulombs you are developing, and bring your current back to a more reasonable 40-50 amps (20-25amps per 120v string).
Nando's version of a msw converter will offer you very good efficiency with the dc/ac conversion (because no stepup is required), and if self built, will give you a good degree of self sufficiency.
120v x 550ah= 66kwh (two strings of 20 series connected t105's in parallel) at your guess, thats enough for only a day or two.... However I think I would not expand further until this limit is tested, as even on cloudy days, a fair bit of power will still be generated from this setup.., and you may well find that you have overestimated what you can get by adequately with.
My vision is still somewhat clouded by my incessant drooling over your 6000 watt solar collectors.
..........oztules