Let me explain my situation. I said I was lazy. What I should have said is, I live in a mobile home park. I have a nice little shop that has a ton of equipment that I have acquired but I try not to make too much obnoxious noise that would disturb my neighbors. The planer is an example of loud noise. So, I try to only use it on a day when most of my neighbors are either working or away from home. So, with that said, for a small project like this, I thought it would be better to try to buy the wood already planed to the thickness I want. I am going to give the BB ply more thought and maybe just use it instead. I do want to thank all of you for your advice and suggestions. If it all turns out ok, I'll post a picture of it. If not, well, you'll never know.
Ray