I have had good luck via elitt and overlap corrections in getting rid of duty periods. In March I think I was down 5 days just using those two methods. Of course, I had to pick up flying to make up for it, but always better to do that on your terms than theirs.
I find giveaway to be pretty much useless unless the trip is high paying. 19.5 3 days are a dime a dozen in there, even on weekdays. I have 3 weekday trips in giveaway right now and nobody has touched them.
I have flown with guys who split trips in commuter cities and give them away that way. The problem is, you have to be willing to go to that commuter city and start/end a trip there if your plan doesn't work.
Next month I got rid of all my weekend flying except one Sunday via elitt. Having the 25th off and having a line is key.