Nevermind, I answered my own question. I just checked EWR
on the Lufthansa website, and it came up with the Privatair flight. It came up with a price of $4145.07 if I left next Tuesday, and returned the following Tuesday. For a business class ticket in that class of service, that is not overly terrible. Probably more than I will ever spend on a trip, but not bad.
It also appears that UAL has a codeshare on the same flight.
I wonder if you could use Star Alliance miles to book that?
A woman drove me to drink and I didn't have the decency to thank her. - W.C. Fields