Yep, by RAW you can delay long enough to lose your turn.
No, by RAW you can delay until later in the turn. Delay does not allow you to delay passed the end of the turn, nor give up your action.
If you want to have something happen early in the next turn, you need to use a ready action, and using the ready action ends your turn and triggers end-of-turn effects.
There isn't a hole that lets you infinitely avoid making a save unless you decide for some reason that a character's turn just keeps on going and going as long as it takes for the readied action to trigger. That also brings up weird consequences with start-of-turn effects, and there's really no reason to do that.