Chris,

What you are seing might be perfectly normal. Many Shar peis actually shed in what we call a blowing their coat manner instead of shedding like other dogs do. They will shed their coat several times a year and it happens at the same time. They will experience massive hair loss over their entire body. Daily brushing is necessary to keep their skin healthy during these seasonal sheds. You can read about this on the following page about a third of the way down.
http://www.rollsrusrollys.com/dogs2.asp

There are medical conditions that can cause excessive shedding such as

ringworm, mange, hypothyroidism, cushing disease and allergies. some of these have been ruled out but I'll include a couple of links on some of these for you to read in case it doesn't resolve itself.

http://www.petplace.com/dogs/hyperadrenocorticism-cushing-s-syndrome-in-dogs/page1.aspx

You can read up on allergies here:

http://www.nhahonline.vetsuite.com/Templates/ContentPages/Articles/ViewArticleContent.aspx?Id=864

http://www.lbah.com/allergy.htm

If you suspect an allergy condition is to blame, you can give your dog Benadryl up to 2mg per pound every 8 hours.

There is also a condition called alopecia which is basically hair loss. You can read all about it in this article:

http://www.dvmnewsmagazine.com/dvm/article/articleDetail.jsp?id=7250

Some treatment methods for this are discussed on the following site. You might want to discuss this possibility with your vet.

http://www.vin.com/proceedings/Proceedings.plx?CID=WSAVA2004&PID=8629&O=Generic

Given the breed, it is likely just to be your dog blowing his coat in a normal shedding for the breed.

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