The Energizer Ultimate Lithium (BLUE PACKAGING) are much stronger batteries, and for that reason they get very hot. You don't want to use those, you want the NiMH one. Less power, but will not melt your gear.
I use regular Energizer NiMH (GREEN PACKAGING) rechargeable batteries, and they work fine.
They are super cheap if you buy them in bulk. I have used them in long shoots, all day long with no issues. If you are using full power, they last about 1.5-2 hours on a 580 EXII -- so I keep a box of about 50 in my camera bag. Yes, they do feel hot after 2 hours, but not anywhere near burning. If you feel more comfortable, change them out every hour.
A dedicated external battery is probably the best way to power flashes, will last longer with less heat. I will probably go that route soon, but in the mean time - cheap AA rechargeable work fine.
I used to use the Eneloops batteries, but they just cost too much. I can get two sets of Energizers for less.
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And I use the LaCrosse Charger, allows me to recondition the batteries and know for sure they are all recharging to 100%. The Energizer batteries last about 1 year before they start to not fully charge.
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