The Alvie and Dalraddy estates 4 miles from Aviemore are traditional Highland sporting estates and they offer a range of field sport including deer stalking and grouse shooting. They provide other activities too such as clay pigeon shooting, archery, paintballing and quad biking.
The Rothiemurcus Centre claims to have one of the best clay-pigeon shooting facilities in the UK. Details can be found at this link:
And for more on clay pigeon shooting and archery, try: http://visitcairngorms.com/inthefield.ht