Vince,  There is great precedence for your solution.  Believe me, there
is more than one enthusiast who has knocked together a box so they could
listen to a new acquisition.  In fact, a few years ago I got a very nice
machine in this very manner.

Back in the 1920's there was a 20-3/4" Regina dick box in a convent in
New York city.  The mechanism had been mounted in the wall for some
reason.  When the building was going to be torn down, one of the men on
the destruction crew rescued it and took it home with him along with a
bunch of disks.  Lacking a case, he made a four sided box out of 1 x 6
pine, without a bottom.  His daughter remembers him inviting friends to
the house for drinks and cards on Sunday afternoons and they always pulled
out the music box and played it on the kitchen table.  She got the box
when he died years later.

Then more years went by.  When she wanted to move to Florida in the
1980's, she decided to sell it and I was the lucky buyer.  So at 85
years young, she went South and, at 85 years old the box came North.
It sounded awful without a bottom.  I found a nice, oak casket case for
it after some years searching and refinished it.   But before I got a
chance to marry them, Marti found me an upright case which had been turned
into a record cabinet.  It took a few months to turn it back into a
musical box case but now I have a really sweet 20-inch Regina Upright.

Now Vince, if you'd like to run the oak table-top case through the
table saw a few times it might just fit your 11" machine!!  Regards
and good luck.

Craig Smith