whats better to call or shove this flop

[Benzooor]

The point is we have a good amount of FE coupled with lots of dead money in the pot and a very strong draw with many outs to the nuts.

We'd love to take down this pot without having to hit our draw, and if we're going to commit our stack to it (which we should), it's best to do it when we have fold equity and an opportunity to see both remaining cards if called.