Great ideas, thanks to all who have responded.
In pretty much all* Dominion rules questions, you always want to just read the card you play word-for-word and follow literally, exactly, what it says to do. Never try to apply your own logic or reasoning to it, simply follow the card's instructions.
Play Throne Room:
- It says "you play play an Action card from your hand twice" so do literally that:
-- Choose a Throne Room card in your hand as the one to play twice. Each time you play it, literally follow the instructions on the card:
---Play #1: Choose an action card from your hand and play it twice. Choose Council Room, play it twice
----Draw 4 cards; opponent draws 1
----Play it again. Draw 4 cards; opponent draws 1
---Now play that Throne Room a second time. Choose an action card in your hand to play twice. You cannot choose that Council Room, because it's not in your hand; it was already played.
*There are some very rare strange cases where the most literal reading of a card is not correct, but they generally only come up when dealing with multiple expansions and interactions between cards that only players who have played thousands of games of Dominion ever even think about.