Sounds like you'd enjoy Leverage. It's based on Cortex and lets the players spend points to introduce flashback scenes. They do this to explain why it looks like X happened, but actually it was Y because they set something up earlier.
I was going to link you to the Margaret Weis Productions page on drivethrurpg, but it seems to be a bit buggy at the moment.
Leverage is long out of print. I was going to try to PM you with some suggestions but uh either Lemmy or Jerboa just doesn't have that feature or I'm missing it? Either way, if you search "leverage RPG PDF" you can find copies. I normally would not condone piracy for RPGs because it's a small community and writers need our support but the game has been out of print for a while now and sometimes you gotta be pragmatic. If this violates posting rules, I'll remove.
I've actually never played it, so I don't know how the stunt point economy is run. I'm sure there's a mechanic for earning more, so probably the player needs to work the system to make sure they have enough.
I didn't know it was out of print. You'd think a PDF copy could stay available forever, wouldn't you? I'd probably check ebay or something similar.