Just to update with my el cheapo 8 dollar pc-mobile 4xAA battery extender (basically a radio shack 4AA holder with the right cable) with 4 high quality Energizer (Sanyo MIJ) 2500mAh - charged my Axim with it's regular 1100mAh battery from ~ 23% to full with no problems. I even had the Axim on with medium brightness, wifi off, BT on .. and the extender changed the status upon startup from internal to external battery (ie: full brightness) before I shut down the Axim to do a full charge.
When it was green and I turned on the Ax to fool around a bit the extender still had capacity to charge some more at 97% when I tested quickly. I'm sure it would have had lots more capacity to charge but I ended up sticking the batteries back into my La Crosse bc-900 charger because I was interested to find out the charge capacity left.
Put the La Crosse in and selected the charge parameters with 4xAA at 1000mAh (or 1 amp) and when I came back it was reading ~ 1.45 volts charged for each battery at ~ 850mAh or so iirc.
Next time i'm going to drain my Axim down to almost zero and see what happens. I think my extender with fresh charged Energizers will still be able to charge to full. They may be able to expend much of it's amps to charge the Ax i'm fairly confident. Where that threshold i'm interested to find out.
Hope that someone got something out of that read.