Don't know about the alpaca, though they are bound to be expensive.
Actually, the problem may not be the socks. Wigwam is a very good brand, but wool socks are not as durable as synthetics, though they have wonderful cushioning and resilience when wet. It is pretty tricky to get the most out of wool socks.
First, make sure your toenails are carefully trimmed. They can cut through socks in a hurry. Second, try wearing liner socks--something thin under the wool socks. Silk is a classic recommendation, but I never really liked them. What I found worked best in the long run was good quality dress socks with wool content. You don't want fluffy sock as liners. Gold Toe dress socks will work. The wool is important because you want the wicking. Then get ragg wool socks to go over them. Google 'ragg wool socks' and you will get some good choices, Wigwam amongst them. They are the really thick wools. Places like REI will have them. Another possibility is liner socks and then wool ski socks over them.
Next consideration is to make sure all of this will fit in your boots without causing tightness of hot spots. I have custom made boots and they are way too big for everyday use, but just fine for hiking with the heavy socks.
There are acrylic socks that will work and even blends, but I seem to not be terribly satisfied with synthetics. They just are not as resilient as wool, though they wear longer.
We are so used to jumping into a pair of athletic socks and running shoes, that we tend to forget that, in some situations, you really do have to fit and size socks very carefully.
Funny this should come up because i was railing in another thread about foot care and socks earlier today, but there is nothing that will end a hike in pain as quickly as foot problems and sock problems.
Enjoy the winter hiking. It really is a wonderful time!
PS--I had a friend working construction in the summer who was yelping about his feet at the end of the day. Asked him to show me his socks and he was wearing cottong sport socks. Got him a couple of pairs of really good (actually Wigwam) wool socks and had to practically force him to try them. He was flabbergasted that they actually kept his feet cooler and more comfortable in the summer heat! It is just hard to beat natural fibers.