You could nearly double you range or go a bit more then double with a recell, Jimmy at Insat /bga reworking uses top cells.
Samsung 30Q's 3000mah high amp discharge.
Panasonic/Sanyo same company basically GA's 3450 mah, great capacity and 10amp discharge.
Sony VCT6's min 3000mah average 3120mah good discharge rated for 30amp but 19/20amp see's it peak before getting really hot.
The new Sanyo 20700B appears to be good having a 4000mah rating, at 10a continuous it puts out over 3900mah. One site rates it as 16a continuous discharge with out boiling.
LG MJ1 3500mah 10a rating but can give 15a but gets hot.
See here for test reviews of loads of batteries and makes.
http://lygte-info.dk/review/batteries2012/Sony US18650VTC6 3000mAh (Green) UK.html