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.
when it tries to connect to the remote utilities website it prompts an error and the installation doesn’t finish correctly.
Internet connectivity (and hence the website being displayed or not displayed) has nothing to do with successful one-click installation. The Host installs anyway - you can check that for yourself by opening the Windows Start menu or (if you selected not to install Start menu icons) by looking at the process list for that computer.
Hope that helps. Let me know if you need more assistance.
P.S. We'll soon replace opening the website with displaying a simple message window.