Good deal getting the 200XLT pack to fit and work!
I'm not sure on the charging part. See
@bb911 post above. He recalls bypassing a resistor in order to charge the higher capacity NiMH cells.
I remember doing something but not sure if that was it or not. As far as the wall wart goes, 12 VDC at 800 mAh sounds about right. I have six of them and they all put out between 18.5 and 19.5 VDC with no load according to the open circuit voltages I'd marked on them.
Inside the batt pack is a small charging circuit that probably regulates the voltage. Current would be regulated by the resistor
@bb911 mentioned as well as the current limit of the wall wart. I seem to recall a zener diode in one or more of my packs that set the charge voltage. I don't recall that voltage though.
You can just let one charge for a day or two and keep an eye on the voltage at the contacts on top of the pack. If you feel it getting really warm, it could be a sign it is overcharging the NiMH cells.
The only bad thing is there is no way to tell if a cell has shorted other than the pack no longer supplying decent power.
I did look at a couple of the packs I'd rebuilt years ago now and I did use NiMH cells in some of them. Those packs still seem to work fine to this day so it's very likely the charging circuit will not harm them as it is. It may just take twice as long to fully charge a pack compared to an old NiCad pack.