Hello Shawn,
Create two identical remote connections (to the same PC, that is). Open them in Full Control or View mode, and you will have two tabs connected to the same PC and same entire desktop. Then switch to the first monitor on the first tab, and to the second monitor on the second tab. Each tab then will be connected to its own monitor on the same remote PC.
You can also detach the tabs from the mother window if that what you mean by "pop-outness". To do that, open the View Options -> Remote Screen -> and uncheck Tabbed View.
Hope that helps.