It's a long/uncommon sentence but grammatical for me in American English. Freknu's paraphrase is accurate.
Edit: there is one further detail--
In freknu's sentence, it is not clear whether Dick really is handsome or not. Simpler sentence:
Everyone expects me to believe that Dick is handsome (even though he is not!)
In the original, the fronting of "handsome [though...]" makes this seem asserted:
Handsome though everyone expects me to believe that Dick is (*but he is not)...
So a more accurate paraphrase would be something like this:
Dick is handsome, and even though everyone expects me to try to force Bill to make Mom agree that he is handsome, I'm still going to marry Herman.
