Hello,
Have you checkout out this existing thread about importing .dae files?
To cover all the bases, check out this help article on how to import a .dae file properly.
Also this one. (Note: SketchUp supports the Collada 1.4 specification and schema.)
I am not sure if there is a maximum file import size for .dae files. Can you post a screen shot, if possible, of the error that appears when you try to import the larger .dae file?
Thanks,
AlexB