Well he's not outright going to say 'I'm pinning all my hopes that the Ringmaster will launch a rescue mission, I'll find an escape route myself, or someone will stab me and the carnival will get the hell out of dodge before Ignatius learns about the rebirth.' But Strange is certainly thinking it.

"I know the power behind oaths and contracts." Says the man currently under one curse and four different contracts. "And I know that if I do somehow manage to escape this realm, unless something drastic happens, I doubt I'll ever be truly free from the Court."

But he's going to try to find a way to free himself from his own mess anyway. Like hell Strange would ever admit he can't do something. "Like I said, it was either myself or them."