Batterys? You meant batteries?
Well, for me, not only for the flashgun but also for the camera as well as the motordrive, examples being my Olympus Camedia C-3040ZOOM which takes 4x AA batteries, or the motordrive for the Minolta X-700 which takes 8x AA, or the Nikon D200's MB-D200 which can accept 6x AA batteries if I want to, I would prefer in this following order...
Rechargeables comes first...
Use rechargeable batteries, the higher the mAh the better, at the moment, my old rechargeable batteries have been used so much, it's time for them to be replaced. Normally I would prefer one fast charger (the sort that charges in 1 hour or less) and one standard charger (the sort that takes a few hours to change), usually take fast chargers with me when out and use the standard ones at home. I would prefer to have as many packs of fully changed batteries when going out, usually try to have 3 or 4 spare sets of 4x AA per set, plus those already put into the equipment. Actually if taking my film camera equipment which contents the Minolta X-700, then it would be 8x AA already in motordrive plus spare set of another 8, there would be 4 already in the flashgun plus spare set of either 4 more or 8. If using the Olympus, 4x AA already in camera, plus 12 spare AAs, (3 sets of 4x AAs). If staying overnight or few nights, then hence taking the fast charger.
Lithium as a back-up....
When not able to use rechargeable, ie: right now, I'm having my old ones replaced with new ones, or I forgotten to bring the batteries, or did bring the batteries but forgotten to bring the charger when being away for more than a night. Or for whatever reasons, even including actually used up all rechargeable batteries in my bag, etc. I tend to try to buy as many of the Lithium ones, like for example the Energizer Ultimate Lithium packs, from supermarkets or any other shops.
Alkaline as the last option....
If I do forgot to bring spare rechargeables or forgotten to bring the recharger, then I would try to buy Lithium, but bearing in mind, depending on where I am, say I am out in a village or small town, or that there is a local corner shop or general store nearby but the supermarket or Argos is too far away, I would buy Alkalines if there are no Lithiums around, such as having to buy Duracell. (Small corner shops in village are more likely to have a limited range of Alkaline batteries than a supermarket being able to stock a wider range of different batteries including supermarket's own brand.)
Failing all the above, good job that as long as there is still 35mm film to buy, I still got my good old Minolta SR-1 which don't need batteries, but of course, I would be unable to use a flashgun.
You can chose the option of rechargeables which you can reuse again and again, saving you money, and leave the Lithiums or Alkalines as a back-up so that if something gones wrong, you can pop out to the shop to buy those as back-up.