Panasonic black Eneloop Pro's are rated at 2550mAh. I test my 1yr old battery pack at 2500mAH (B6 mini tester).
Easy enough to solder up a battery pack.
Weight is 249g
Eneloop Pros would be my starting place, given the ease of charging in the radio, and robustness against over/under charge, low self discharge (compared to older NiMH), no need for special storage charge (unlike Li), and that they are _actually_ the rated value.
[I also added a pfet across the schottky to claw back 300mV when using batteries.]
I have started using 3x18650 LiIon for long trips - lighter at 150g. They test at 2700mAh,
I have carbon covers, and I have hacked away at the chassis under the cells to get them in. Not sure if they go in a standard case, but you would only need to modify/replace the plastic battery cover to use 18650's.
So far I have found the LiIons are not testing anywhere near the 3200-3400 I was expecting.
I also have some LIPO's (labelled 4200mAh) that fit inside nicely, and they test at ~2500mAh at 212g.
BTW, I would expect those pale blue batteries have all go an SMPS in each cell, and there must be frequencies that will flatten the RX. Personally wouldn't believe the mAh rating unless I tested them.