I've got a '20 Conn bari as well. You can try hitting E3 by first fingering Eb3 and then add left hand 1 2 3 and the G# key, but release D3 as you make the shift. I get F3 by blowing F2 up there, and the same with G3 using G2. F#3 is probably the easiest and you can get it by using the octave w/ left hand 1 2 3, right hand 1 and side Bb.
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