1200 mAH will merely extend the period between recharging compared to a 900 mAH
As long as the replacement cell is 1.2 V, the brilliance will stay the same. A 1.5V dry cell will increase light output, but could shorten life of the LEDs.
before they folded, I bought some hybrid cells from Maplin, and have had good experience with then, in a number of applications.
Might be worth looking for similar replacements?
Howard