If you made your dae file in sketchup ther is already an exporter for vmf files, which are basically the same as map files and can easily be exported out of hammer or have their format changed in quark.
If you made it in another program you might be able to clean it up and export it in blender or 3dsmax.
All interiors must be composed of conves brushes. If you are not familiar with the terms convex and brush then you should research them. It's highly unlikely that you made your model out of convex shapes and phisically possible brush shapes without thinking about it.
If you did not model it with convex volumes you will need to start over from scratch.