Doreen - I would avoid any sort of glue over radiant heat. That tends to cause lots of problems.
This is unfortunate because you have already installed this and partial subfloor...without thinking through what you would put on top as well as installation method. So at this point, you may either be limiting your options and/or may need to redo the subfloor.
So, if you do engineered hardwood, you may want to see if there is a way to nail in (rather than glue) or choose a clickable one that does not require adhesive.
If you do any sort of tile, be sure not to install on top of the 5/8" plywood as the tile will crack. You could do cement board or mud job and/or rip up plywood and then do the same.
I understand you have a large area...but bear in mind, that most of your options will be expensive, no matter what you do.
Debbie Gartner, aka The Flooring Girl
http://TheFlooringGirl.comWestchester County, New York