The odds are the odds, no matter what you change. If you sit at 1 table, play one hand. You flop 4 to the flush and know the odds to be roughly 33% to hit. You chase and miss. You decided to change tables and again play 1 hand. Again you flop a flush draw. The odds of hitting that flush draw are still 33%. Nothing changes the odds of hitting your outs, not the deck, the number of players, the table, the poker room, or your underwear. Every time you encounter a draw your odds are based on the number of outs and the number of cards to come.
Basically I'm saying that if you chase 3 flush draws in a row there is no guarantee that you will hit any of them. You could chase and miss 100 flush draws in a row. Every time you chase a flush draw you are going to be 33% to hit.
To go along with another post I made:
This is what the analyzers of hands are trying to get people to see. If you keep in mind your odds of hitting vs how much you are putting in the pot, you should be making a profit. When you post a hand to be looked at the first thing I look at is the pot and how much you committed vs the odds of hitting what you were chasing. If the odds aren't there I will tell you that you made a stupid play. I'm not trying to change your style, rather show you the math that helps you be profitable.