Do I Need to Go to Canada?

In a couple of e-mails with the immigration lawyer over July 4th the conclusion seems to be that I should resign from my job ASAP. The neat solution where I stay on H1B status till September is out. She recommends that I leave the country and come back as a tourist for my final two months here. I should have the plane ticket for Australia very soon to be able to prove that I intend to exit again if necessary. I'm still afraid they'll refuse me re-entry. Snork Maiden thinks that if I don't tell the US Consulate in Australia that I intend to give up on the green card application then I should be able to stay in the US while I'm still seeking a green card. I just e-mailed the lawyer asking whether that's an option or not. Even if I resign in the next couple of days BCIS isn't going to know for a while that my H1B is terminated. But I will need to book a trip to Canada or wherever ASAP if the green-card seeker option is out.

A couple of years ago I told someone that I thought I'd be happier on the day that I resigned my position than on the day I got tenure. Back then, I had a heavy heart when I submitted the tenure file because I didn't want to stay here in this town all my life. When I heard that I got tenure I felt relief that I wasn't fired. But now I'm not happy due to this struggle to try to set up a better transition for both sides, which has failed and my anxiety about the visa issues. So I am feeling a little bitter as well as anxious. So tomorrow I probably will hand in my formal resignation and wait for instructions from my lawyer on what to do next.

If I do need to leave the country should I just take a trip to Canada (very near) or go visit family in the Europe area? Should I fly in and out of Snork Maiden's town (can leave my keys with her then and tell immigration that's my address in the US) or in and out of here where my ticket to Australia is routed from?