Do you know what your win rate and variance are?
My guess is that when you say "strip rules" you mean S17 DAS LS RSA? (Not a whole lot of this on the strip anymore by the way.)
OK, I plugged some representative values into some of my good old programs here and came up with a decent guess that your win rate is probably somewhere around just under 4 units/100 and the SD is around 45 units/100. If these numbers are off, then by all means we can easily come up with a different answer.
OK, this gives you an N0 of right around 14000 and a SCORE of 71 with an overall expected winrate of just under $100/hr. (We're playing green as you said.) Pretty good. Next we can see that after 50000 hands you have a 2.5% chance of being down $2800 or more and a 0.25% chance of being down $28,000 or more.
I don't know what your actual numbers are in the game, but this my friend is precisely why those players who do not have what we call "replenishable" bankrolls tend to play to a risk of ruin somewhere around 0.5%. In this case, to have a lifetime ROR of 0.5% you would need a bankroll of over $35,000.
Of course, that said - you would have to have some serious eyes of steel to lose $28,000 and not resize your stakes with only $7,000 left!
By the way - I too agree that any casino that worries about any counter (real or imagined) that is not hitting them for some serious cash is just being stupid, wasting their time, and likely costing themselves a lot of money.