attachment trouble and partial denture

I received a partial upper denture about 4 months ago. It provides 8 upper teeth, four on each side of my mouth. The bridge is a precision attachment type with a crown and percision attachment on tooth number 6 and another crown and precision attachment on tooth number 11. The bridge fits fairly well, and is comfortable. The problem is the snaps on the bridge itself will not stay in. The dentist would like to put an acrylic coating on the bridge to bond those snaps in, but he tells me he cannot do this, as there is not vertical room in my bite to accommodate the acrylic coating. In trying to make sense of this, I am guessing that my bite space has diminished, due to being without these 8 teeth for 2 years. He claims if he coats the bridge with acrylic, I will not be able to wear it, as it will be too "high" for my mouth space. He has tried to glue the snaps in with every kind of glue he can think of with no results; the snaps just pop out a couple of days later.
The dentist is at his wit's end, and so am I. Any thoughts or experiences you know about on this might help. If we don't come up with some way to keep those snaps in, it will be the waste of a good bridge and the over $2000 I spent for it.
Thanks for any comments on this problem.

[mike1105]

if the re is "no room" it sounds like the case may have been poorly planned. Perhaps this problem should have been forseen. It does not make sense to fabricate something that will not work becasue of your anatomy or the way you bite.