[Idiom] push on

[yuriya]

"Then I'm going with you," Gunny announced.
"You can't," I said. "If something happens to us, you're the only one who knows what's going on."
"He's right, mate," Spader said. "You'd have to push on without us."

Is there any difference between go on(ahead), push on(ahead), and press on(ahead) in the last sentence? I welcome other possible model expressions there as well. Thanks in advance!

 

[emsr2d2]

Is there any difference between go on(ahead), push on(ahead), and press on(ahead) in the last sentence? I welcome other possible model expressions there as well. Thanks in advance!

There's no difference between your suggestions. You can also use "carry on" or "continue".