Yes, a bleach/water mix will do fine. The Kilz site is for the brand I mentioned, they have many products. Just go to your local Lowes or Home Depot and ask them for one that will work in your situation. Then I'd seal it with either another Kilz product or a basic polyurethane. This won't prevent mold but it will seal the wood and allow you to wipe it down if it were to become a problem again. However..if you use the fans and an open top.back with the canopy you should be able to avoid future mold.
