Here's a thread that I started last month on Mapalad.Org (the Palm User's Group in the Philippines, where I am from) that shows the various ways by which you can use the Palm Wireless Keyboard in conjunction with your cradle or USB sync cable (combined with a USB-to-AC adapter) to get around the T3's problem of short battery life. These methods are particularly useful for heavy-duty word processing.
I suppose that the use of a Power-to-Go sled would also extend battery life without tying you to a power cable, but I am not sure whether the T3+sled combo would fit in the wireless keyboard.
You can find the link to the thread (which includes photos)
here.
-Bon