I removed carpet in one room and discovered I have the 1" Redex tongue and groove sub-floor. I wanted to install 5/8" x 3-1/4" strand bamboo and nail it down, but based on everyone saying dont nail to particle board, I have settled on a floating 5/16" x 4" Schon Chocolate Shapelle from Lumber Liquidators. It is tongue & groove and glues together. I have since removed an older 3/8" engineered wood floor that was glued and nailed directly to the Redex in my foyer. Having discovered it nailed and glued directly to particle board got me wondering if that would be acceptable or did I just find someone else cutting corners? I would really prefer the 5/8" strand bamboo to the engineered product and I have not begun installation yet. I did read the article that recommends placing 1/2" plywood down as an underlayment for naildown applications, but am trying to keep from having to raise the floor that much. Also, what is the best way to remove the old troweled down adhesive in the foyer? Scraper, rent a sander, something else? A friend of mine suggested using a staple that has glue already on it? Would that be acceptable to use to fasten to the Redex particle board?
Any help would be much appreciated.

The options are sheeting out with plywood or OSB,(preferably plywood), or performing a floating installation.