Mbo - you must have flippers or something if F & Bb are easy. Half your luck!I play Bb the nOrMaL way: index finger across first fret and three fingers on the third fret strings 2,3&4.
It would drive me crazy not being able to play the first string - I don't really know how to give the guitar a good hard strum without playing the final E string.
The real killer of course is Eb. What a lousy chord.
--Callie