That is a cool idea! I couldn't resist making this. You'll need to adjust your speed, but it should be fun to watch...
I've created a "sobriety-impared", or random, path creator using an MS-Excel spreadsheet and a link to a website tool to create the KML file. The spreadsheet is a simplified version of what I posted
here.
To use the spreadsheet, place the maximum distance per leg, into cell A8. The default is 1Km.
In cells B8 and C8, place the initial Latitude and Longitude values respectively in decimal degrees, i.e., DD.dddddd format. Press F9 to regenerate points, as desired. The default location is Mount St Helens.
Select and copy the contents from cells B8 to C33 to the Windows clipboard. (The C33 will change, if you extend the random path.)
Click on the link in cell A9 then paste the clipboard contents into the coordinates window, click "a path" (or "some placemarks"), then click "Go".
Very shortly you'll be prompted to click "right here". Doing so will start Google Earth displaying your random tour.
Oh, by the way. If you chose "a path" you'll have to select the "autopath" manually then click the play button.