My '02 LE came with a JBL single CD player with cassette player. In the interest of tearing my initial stock JBL radio apart to experiment with, I purchased another JBL radio with the 6 disc changer with cassette player (from Ebay for about $125) for the very same reason (stock, not attractive to thieves). I have never had noise issues with the JBL 6 disc radio cassette player, but I consider myself lucky - you never know what nuisances Ebay electronics may come with.
This Ebay seller allows returns, for this radio:
http://cgi.ebay.com/ebaymotors/JBL-T...fAudioQ5fVideo
If you can't find an amber-colored radio to buy...
One route to keep your amber-colored radio is to purchase the exact JBL radio from Ebay, making sure all the buttons in front match (that is, a unit with single cd/cassette player); plug it into your car to see if you still hear the ticking noise in question. If the new radio doesn't have any noise issues, you might be able to swap the front "faceplates" between the two radios to keep your amber-colored buttons - no special tools required, just some screwdrivers.
I don't know what your experience is in removing the radio and all, but you can probably search for it on these forums. There are techniques and/or tools to use to avoid scratching your dash.
Can't say what your issue could be though, given that the ticking corresponds with speed. Any aftermarket stereo components from the radio to the speakers? Poorly routed power and/or speaker wires could create or pick up noise.
Goodluck!