My hubby is running Edinburgh mara, and for post-race recovery we're either buying him a pair of (long )compression socks or (if we can save enough!) some Skins tights. He can wear either below jeans afterwards or the next day and it apparently helps to speed muscle recovery!
Also, some races offers special medal inserts or gifts with the runner's time imprinted on.
My running partner also wears orthotics each day as he too has knee problems, and prolonged periods of walking without them means other parts of his leg are thrown out of alignment (that's as technical as I get - sorry) and pain ensues.
He had his gait evaluated by one of those treadmill+computer combos whilst trying out various types of running shoes. The general conclusion was that for him a pair of neutrals + his orthotic inserts in was the best way forward. He also checked with his podiatrist that this would be ok, and were given the go-ahead - feedback was that the orthotics were made specifically for him whereas support shoes may be made for people with completely different issues.
Sorry if I've missed a completely obvious reason as to why you can't wear them whilst running, but maybe you could get some made?
Or, my knee loves to dislocate and I had many a painful ache until I discovered the joys of Chi running...