I personally don't like overplaying my flush/straight draws on the turn. I usually just check/call if the pot odds are right. You're only 20% to hit a flush, so I certainly wouldn't be tooling out and shoving just a draw on the turn even with fold equity, especially on a paired board where you could be drawing dead. 

Just my insight on the situation. Also, your post was extremely hard to read.

Folding if the odds are right is just bad. I certainly think it's +EV to chase a flush even on the turn if you're getting a good price, and you can even extract more value on the river if you do hit. I usually don't chase gutshots whatever my odds are, I just like to fold them on the flop unless the price is absurdly sick. Also, I wouldn't trap with a flush draw. Either try to take the pot down on the flop, or check call and fold when you miss. There is no yes/no answer to whether you should stop playing flush and straight draws on the turn. Also, I'm never calling a shove with just a draw, unless it's a sick draw like a open ended straight flush + 2 overs. It sounds like you're just calling shoves with 20% equity on the turn, which is pretty -EV.

Hope this helps.