OK, thanks to Murphy kicking in, yesterday I myself became a "Showcenter Power Supply victim". 
Hey, at least I can now say that I pretty much know what one will get into when messing with one of those units.
In my case, it was pretty clear that the power supply was blitzed when I opened the unit because both of the 1000uF capacitors were visibly bulging, and I don't mean a little. A quick measure across the power leads with a simple voltmeter, and I measured about 2.5v DC, and over 5V AC on what *should* be DC out. Of course, in a perfect world, there would be 5V DC and (depending upon your meter) either no AC measurement at all, or a RMS equivalent voltage measure. So anyway, it turns out that half of the output stage filtration was gone.
Examining the board, I did find a rating. Mine is rated 2A at 5V (there's a sticker on the large high-voltage capacitor), so if you're looking for a like replacement, look for a 2A or better supply.
Long story short: I replaced the 2 1000uF 10v caps with 2 1000uf 25v caps...which were all that I had on-hand. No, they didn't fit very well, as they are nearly twice the diameter of the 10v units. I ended up soldering on some solid-core insulated wire to make "jumpers" and using high-temperature hot-melt glue to allow me to stick the capacitors down to convenient places on the power supply board. Time spent: About 10 minutes from opening the box to last capacitor soldered (although I'm pretty well set up for this sort of thing, with a vacuum desoldering tool and a Metcal soldering station). Tested the power supply and ended up with *just* above 5V DC output, put it back in service, and no problems anymore.
One gotcha that I'd suggest you watch out for when soldering on that board -- there is a surface-mount component only a short distance from one of the capacitor's solder lands. If, when desoldering the capacitor, you get things hot enough to loosen that little resistor and you accidentally knock it loose, you'd likely have fun trying to stick it back down. So...just work on one leg of the cap at a time, keep your iron away from the surface-mount stuff, and you should be fine.
BittMann