I agree with Bob; especially if the circuit board is multilayered. I have not looked at this pcb to say, thus I do not know if this unit is.
You could get lucky and the CPU and ROM was not damaged, and it may have been just a cap. If it were I would probably wholesale all the caps with high temp replacements (105degree C), if they were not already.. This would certainly be an easter egg approach looking for that needle in the haystack, hoping that the pcb was not damaged, unless you have the tools and ability to tackle a rebuild.
In other words you may have to chew on the approach and hope for the best. Good luck and have patience, hoping there is someone with some help beyond my mess here.
Art