Duke,
You being from the old school of bowling should know the answer to your question. It was cool enough in the center when I bowled in May and it was 104 outside.
If they allow shorts, then why not tank tops and ball caps and cutoffs and no socks with the shorts and so on. Its the National tournament remember?
Also be glad you have a knee to wear that brace on, don't get a replacement and have it get infected and have to get another one.
Shipper