Windows – ny way I can make the connection bar “more difficult” to display using the Microsoft Terminal Services Client

The Microsoft Terminal Services Client (Also known as "Remote Desktop" or RDP) is an awesome remote access tool that I use all the time. It has but one major annoyance — there's a bar at the top of any full screen window which is used to control the remote session itself. I understand the need for such a bar (to do things like minimize the mstsc session itself), but it would be better if instead of auto-hide, it would simply only show when I press a certain keyboard shortcut or something like that.

I'm open to looking at third party clients if they would be able to make that frustrating connection bar go away 🙂

(Specifically, it screws things up when I'm using Google Chrome inside an RDP session, because putting my pointer where the tabs are causes the connection bar to appear and block me, and it also causes problems if I use the Areo Snap feature to maximize the current window in Windows 7 guests)