The feature you are asking for the LinkList widget is possible :)
You just have to edit a few files in the widget to get it to work:
To make sure everything is 100% clear you are asking for the following:
- Display URL
- Actual URL (Not visually shown to visitors)
- Image to display for the link
Currently I am very busy :) so won't be able to create this for at least a month or so.
If anyone else interested in creating this please go ahead.
In summary all what has to be done is to add additional fields for the xml file to save the Display URL and Image location to.
Then add those fields inside of the Edit part of the widget so that admin can add them to the widget.
Then edit the display of the widget to show the Display URL and Image.
Should not be too hard to do.
Have a great day!