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I would pay it 3 ish days before statement cut. So for a 14th statement date, pay by the 11th.
When was your last CLI on the Quicksilver? CapOne will not give another CLI within 6 months.
Every card issuer is different.
Capital One loves to see usage. Best strategy is to use it up to the limit multiple times & PIF multiple times each statement period. Don't need to let the statement cut with any balance, and certainly do not need to carry a balance. This strategy actually make sense, as it is a clear indicator that the current credit limit on the card is not high enough for your spend needs. So, if you have a $1000 limit on the card, spend up close to $1k limit, pay it off, then spend another $1k, then pay it off. Rinse and repeat as many times as you can each month. Note, for best credit limit results with Capital One, it might be more effective to apply for a new card after demonstrating spend rather than seeking CLIs on existing cards (this is actually true of a lot of lenders).
From my own experience, I got a QS1 with a $3k limit, which was my first unsecured card after years of rebuild. I was traveling a lot for work at the time, so I spent up close to the limit several times per month. About 3 months after that I applied and was approved for a Venture at $5k, got a CLI to $7.5K about 3 months later, then app'd for and was approved for another Venture at $30k about 3 months after that.
I don't travel as much for work any more so my spending is quite a bit lower (not to mention I've got 30 other cards I need to spend on now), so when I request CLI currently Cap One says my spending doesn't support a higher CL, which is true.
I'll go ahead and state the obvious, but it's not worth spending money on stuff you don't need just to get a higher limit. That will only get you into trouble. Don't know anything about Finger Hut.