good one. may i say, that while you're at it, just go ahead and check all fuses. i found these when i was doing an electrical audit of my car and was more than surprised. let alone pissed at the previous owner!
it does sound like fuse under the steering wheel think its 15amp or 10amp fuse
alright mate. in instances like this when the obvious symptoms yield no results, it may be best to look at other areas, and like you say, your strength is in mechanics, not electronics and electricals..
the fact that your dash clock is dimly visible proli means there is a current leak..