Wireless Mouse with cord?

I was wondering if there are any gaming mice out there that have wireless capabilities yet can be used as a wired mouse, similar to PS3 or xbox 360 controllers (which can charge the controller while in use). I think I've seen some for notebooks but they are probably too small and only 3 button mice. I would prefer a larger gaming mice with some side buttons and possibly laser. It just seems annoying when either batteries run low, or the mouse does respond fast enough when it's wireless.

If they don't make these mice, I really think there would be a market for them. Wireless mice are great for mobility and less tangles, but a cord allows for less worries in terms of latency, interference, and low power.

PS: While I'm here, I guess I'll ask a question about wireless mouse. I currently have a Logitech LX8 wireless mouse. When I play FPS, the mouse doesn't pick the the super rapid movements that I do (which is often since I play at low sensitivity). For example, when moving the mouse slowly left to right for about 3-4 inches, the pointer will travel across my monitor, but when I move it let to right really fast 3-4 inches, the pointer only moves a couple inches. I was wondering if anyone has experience with the higher end wireless mice and notice anything like this.