paying it off twice a months.
I don't know the answer to your question, but this part jumped out at me. I suspect you are trying to keep your debt to income ration low as that helps your FICO score, but if you aren't about to apply for a loan, having a low balance on your statement works against you getting a CL increase (and maybe against getting another card with that issuer).
It would be better
not to pay down any of it until a statement is generated. For example, if you charge $1000 in a month, but you pay off $500 mid-cycle, only $500 will show up as the balance on your statement. A lower balance helps your credit score, but works against your credit limit increases.
The credit card companies like you to spend a lot on your card, so they increase your credit limit more easily if it looks like you actually need an increase (i.e. would be likely to use more credit. I've been turned down for credit limit increases with something like "We feel the current limit is satisfactory for your amount of usage" .
The credit card companies have different goals than the home mortgage or car loan businesses do.