[Radiance-general] Reflection vs specularity

[atelier iebele abel]

Hi,

I have a problem modelling a reflective floor of a large museum hall. 
The specular and roughness components (0.08 and 0.01) in the material of 
the floor  result in smooth reflections of the walls, paintings, windows 
etc.
The problem arises when adding some lightsources. The lightsources cause 
specular reflections with very bright specular spots (highlights) on the 
floor. These specular spots do not look realistic (better said: these 
highlights disturb in the image, because there are so many of them).
I have tweaked the specular, roughness and rendering parameters also, 
but I can't  get rid of these specular reflection highlights, apart from 
making the roughnes very small or 0. But with low or zero rougness the 
relections of the other geometry become too sharp.
Is there a way to model a reflective material (or lightsource?) without 
a ( or a dimmed) specular reflection highlight ?
Or any other suggestion?

Iebele