Mounting a hone advice

A while back i picked up a CF hone from auction that was in a pretty bad way but excellent price, so far it has taken a ridiculous amount of lapping and still needs more work on that front. As im still confident it will end up being awesome i was thinking about mounting it in a nice wooden case that i picked up with from a different auction.
I have 2 problems with this that i was looking for a little advice on.
The underside that would sit based in the case is very uneven
Attachment 200114
i took a little from each end so that it fits into the case, which also reduced the amount of lapping needed and reduced the amount of depth difference a little.

I was wondering if anyone with experience in this area can tell me, what is the best medium for mounting a hone into a case? i was looking at air dry clay but i also read that beeswax is an option.
Any thoughts on compensating for the unevenness, maybe just try it and spirit level?

thanks

It sounds like you are set on the case, but personally I don't like them. Then I just worry about what will run off the hone and into the case.

Charnleys, and many other thin UK hones were mounted in boxes with either warm pitch/tar or plaster of Paris to get them level and hold them.
~Richard
Attachment 200116
Attachment 200117
This one I scraped the plaster of to make a call on what type hone it was.

holli4pirating, its more that i want the extra level of protection for the hone granted by being stored in a case, that being said, i could always use the case as a housing without the need for it to be level.

Geezer, thanks again, why i didn't think of plaster....... i still like the idea of air dry clay, i would say pitch/tar is in the same vein as beeswax and would work very similar, plaster is definitely a one to consider too.