From my experience, the speckles are a result of:
1. A reflective material, such as glass or hi-gloss paint, metal, or wood finish, etc--which the render engine is bouncing "light photons" off of,
and it simply can't keep up with the amount of information it needs to process--so, try making the material a bit less reflective. (which brings up #2:)
2. Render setting is not high enough. If you need super-glossy or reflective materials, you will need higher render settings.
3. Lighting--try experimenting with different light settings and see if it makes any difference.
I have also found that over the past release or two of Revit--the change to Autodesk's own "raytracer" from the older Mental Ray engine
has made it harder to get high quality/photo-realistic results.
You might try Render in Cloud if you are on subscription, and use the highest setting and see what the results are.
Cliff B. Collins
Registered Architect The Lamar Johnson Collaborative Architects-St. Louis, MO