Too many variables left unspecified. Some things for you to consider:
1. How hard will it be to get into the case? In the case of your 8x battery pack, this is likely to mean a case that is screwed shut, instead of having a battery door.
2. How likely are you to strip out the screw threads, if any? Batteries trapped in aluminum cases without brass thread inserts are a bad idea, IMHO.
3. How much supply current will your circuit take, and from that, how much run time will you get from either option?
4. Is money an issue? If so, given all of the above, how much are you willing to pay for the ability to put off battery changes longer?