It's surprising that a team of doctors could not figure out what you have. Correct me if I'm wrong, but you didn't say the rash was itchy, flaky or painful. This rules out psorasis and other common conditions like eczema.
From what you've said, it sounds like you have Petechia and/or Purpura.
Wikipedia says,
Purpura (from the Latin, purpura, meaning "purple") is the appearance of red or purple discolorations on the skin that do not blanch on applying pressure. They are caused by bleeding underneath the skin. Purpura measure 0.3-1cm, while petechiae measure less than 3mm, and ecchymoses greater than 1cm.
A petechia, plural petechiae is a small (1-2mm) red or purple spot on the body, caused by a minor hemorrhage (broken capillary blood vessels). The most common cause of petechiae is through physical trauma such as a hard bout of coughing, vomiting or crying which can result in facial petechiae, especially around the eyes.
This is one of the many skin-related symptoms that result from Crohn's disease. You may be able to reverse your symptoms in a month or two with Vitamin C supplementation. I would recommend 600-1000mg per day, but not to exceed 1000 mg.
Related:
Vitamin C deficiency - defect in collagen synthesis due to lack of hydroxylation of procollagen. It results in weakened capillary walls.
Best of luck,
icarrriere