I've done some checking around for you. the wiring on my bike 03 GS twinspark with abs servo brakes cannot be that different from yours.
The instrument lights are powered by the green/blue wire which runs through connector x9003 (12 way). this is the bottom right connector block on the headstock as viewed from above. It's coloured white and opaque. The green/blue runs through the connector at position 12 and connects to the grey/blue wire the other side.
Check for power at the green/blue here to see if the instrument lights are getting power. I suspect not.
The low beam wiring, together with the high beam and front indicators all come together in a loom which runs across the front brace, passing down the left hand side of the bike, passing next to the horn where the horn cable feeds into this loom. this loom then carries on down the left hand side of the bike into the main loom.
I believe that all the green/blue wires connect inside the fuse box. if you know how they make these looms it would be a good place to look. Basically they gather all the green/blue wires which run from every switch and connector and join the whole lot together with a big crimp. This crimp is inside the fusebox.
It's worth undoing the cable ties at the top end of the loom and flex the loom to see if you can get power (possible break in the cable) examine the loom to make sure it hasn't chaffed through. if it's shorted through somewhere, you may well have melted the wire, which could have taken out your instrument lights as well, depending on how the two are connected at the crimp.
You can try a continuity test between the positive low beam and ground to see what resistance you get it should be a very low resitance but not short, this is because the continuity check is also going across the instrument light bulbs. If you disconnect X9003 this will remove the instrument light circuit, then the resistance across the low beam positive and earth should be open circuit.
Now I don't know what HIDs you fitted, but if they are like mine where you use the existing connector and plastic cover, drilling a hole in the rear to pass the HID wiring through a rubber gromet, Then it is likely that you have inadvertantly shorted the positive and earth together inside the cover and fried your wiring.I was concerned enough about this, that when I did my HID's I put an insulation boot on the right angle earth connected, so both the positive and earth were insulated from one another.
If you think about it, this all started after you tried to fit your HID's, so my detuction is somewhere along the length of the green/blue wire from the low beam connector to the load relief relay is a melted piece of wire. My guess is it's in the fuse box, at or near the crimp.
I hope I'm wrong, and it's something simply, but right now I can't see it. I've checked just about everything I can using my bike as a reference, and it's the only conclusion I can come too.
Good luck with this one. I'm off to put my bike back together.