Raynaud's causes one to feel numb and cool in response to cold temperatures or stress. It's really a disorder of the blood vessels that supply blood to your skin.

During a Raynaud's attack, these arteries narrow, limiting blood circulation to affected areas. Since this is how Raynaud's works, with a lack of blood supply to the area, the brusing wouldn't happen and doesn't happen with Raynauds. You need blood to cause brusing. Even with the blood flow coming back the the area when the attack happens, it won't cause brusing. Maybe look for another cause.

Do you take aspirin? Sometimes other drugs can cause this too.