If you don't mind spending a little more $$$ than you might for something else, these would be just about perfect with that fast twist rate and jacket failure shouldn't be an issue:
http://www.warner-tool.com/#!product-page/c1u5r/bdce101d-0eae-e733-4df3-30051598e486
Having said that, the first thing you really need to determine is the distance to the lands using a Hornady OAL gauge or similar device with whatever bullets you already have on hand. That will tell you how long/short a bullet you can expect to seat optimally in the case for your specific rifle. Once you have some idea of how long a freebore you have, you'll also have a much better idea of which bullets you might want to think about using. As a general rule of thumb, I'd go with the highest BC bullet that you can seat optimally in your rifle. That comes with the caveat that if you have a really long freebore and can load very long heavy bullets (i.e. 215 Hybrids, for example), you'll also want to consider whether you can effectively manage the recoil using that heavy of a bullet. Some folks have found recoil management to be a struggle when using 30 cal bullets in a .308 that are > ~200 gr or so. For others they work just fine. In any event, knowing how much room you have to seat bullets will probably net you better responses and information here.
As far as powders go, there are lots of choices in .308. Varget is really the go-to powder for many. It is fairly temperature-insensitive, meters reasonably well, and will give decent velocity. H4895 is another choice that will usually give you a tick more velocity than Varget, but at the expense of slightly higher pressure. If you haven't started assembling reloading components as yet, I would strongly suggest using Lapua Palma brass, which takes small rifle primers rather than large rifle primers. The Palma brass has just a bit more case capacity than standard Lapua brass. Even better, the primer pockets are noticeably more resistant to higher pressure loads because there is more metal in the webbing. There are really many other choices of powders for .308, such as IMR4064, IMR4320, H4350 (for the very heaviest 30 cal bullets), IMR8208XBR, PowerPro2000MR, the list goes on. One thing to consider in making your choice would obviously be availability.