I'm having a battery failure problem much like I imagine is happening with the Boeing 787, except less life-or-death-ish. I'm looking for a less dangerous stand-in replacement that can emulate this battery for a short duration without catching on fire.
History: Some time ago I purchased a device intended for automotive (12VDC) use which contains a 3.7V 800mAh lithium rechargeable battery fitted in the case with the PCB. This battery (thin and flat like a cell phone battery) is not used except to help the system shut down gracefully when the truck is turned off and the 12VDC goes away. That shutdown takes about 30 seconds, and the device draws about 0.75W during that process. The battery is under a "float" charge (embedded charging circuit) during normal operation except for the initial power-up state when it's recharging from the last power down.
Under various conditions the battery has either caught fire or over-heated and expanded so much that it physically destroyed the device. Sadly there's enough data to establish a pattern, having now replaced this thing six times. Hot days: environment in the cab is around 50C (122F). If the device is left running in that heat the battery can fail in bad ways including fire and catastrophic expansion. This happens hours after leaving it running in the hot cab. Cold nights: cab has been sitting overnight in temps of under -25C (-13F) with device powered off, but when powered on (at that cold temp) the battery immediately expands to 3-4 times normal size and destroys the case and PCB both physically and electrically.
I want to try a cap in place of the battery but nothing of the capacity needed can fit in the case. I'm also not sure if it's electrically going to in some way damage the charging circuit. Can you think of any other battery technology that can give me the 30 seconds of runtime while properly charging and not failing with wide temperature swings?

