I've been barred from a Harrah's property, and strangely, no one's told the marketing department, I keep getting random offers in the mail for all sorta of HET properties. (and I've been able to take advantage of room stays, etc).
However, I don't think my odds of earning any more comps with BJ play are likely.
You should be able to get away with *something* at your home casino. What is going to depend on how sweaty/observant the casino is, how you play, and your act.
If you're truly a regular there, I doubt that playing unrated at the tables would help.