I wanted to wait a bit to do the review on the Bigma with the Q since I just received it over Christmas, but I took it out today and learned quite a bit about it's tendencies so I am ready to post.
(This is not a review of the lens in it's intended application as I have found the lens to perform better on my K-5 than any Sigma 500mm zoom I have previously tested.)
Wide open the Bigma natively is a little soft and sharpens up at f8-f11, but that puts it into the diffraction zone on the Q.
Nevertheless it can produce decent results if you stop it down one stop on the adapter, where at the long end the lens is running at f8.
For some reason the short 50mm ( 275mm eq) end of the zoom is not very good on the Q, it produces fuzzy results no matter the aperture - you can do better with a native 300mm zoom such as the DA55-300 or even a Tamron 70-300.
Once you zoom in past 100mm, the Bigma produces decent images all the way up to 500mm to give a whopping 2750mm equivalent.
The output is not as sharp when compared to the 'gold standard on the Q' DA*300 but pictures are reasonably detailed and can be cleaned up in post fairly well.
If you need the reach, the Bigma +Q can deliver as long as you have good light and a solid mount.
The samples below were shot at 500mm, ISO 125, 1/500 sec with the Pentax adapter set at position 1 for approx f8 aperture.
Overview shot for distance perspective. Hawk was at the top circle, heron at the bottom circle.