I appreciate all of the comments and suggestions, thank you. My flutes use a slow air chamber which I believe is known as Fipple. The design is popularly known as Native American Flute even though I believe they are a fairly modern European design also used in pipe organs.
flutopedia is an awesome resource on flutes, here is one of their entries on fipple: http://flutopedia.com/fipple.htm
I will not be glazing where the fetish (the piece that directs the air to the cutting edge) or the inside of the body of the flute. I will be brushing glaze on carefully keeping it out of the inside of the holes. They bisque fine fine laying on their side but I've never fired one to cone 6. They do survive a pit fire with minimum curving.
I just threw a giant ring holder a few minutes ago, maybe that will work. Need to make a bunch of them if it does. I found that form kind of hard to throw it is so small for my large hands. Do you think it would be better hollow? Eventually I would like to try an Raku these things so I need to be able to get some tongs on them while they are in the kiln without knocking over the others.