I live a life apart and I've extremely happy. Find something besides social interactions to give your life meaning. Find small ways to be kind and compassionate in the rare interactions you do have. Do things that put you near other people, even if you don't necessarily interact.
Don't think that your life is wanting because you don't socialize. If you strip away the veneers of culture, socialization is just a way to find identity, meaning and pass time. You can do all that on your own terms, and some of the wisest people in history have purposefully separated themselves to do just that.
For most, loneliness is not a choice, so whatever you just said is meaningless and will not work. It is not identity they are looking for, but actual socialisation. Most people are hardwired that way.
Being separated sometimes gives perspective, but... How many of those men were actually happy? If it's almost a cliché.
Loneliness is a consequence of your beliefs. If you believe that your beliefs cannot be changed, then you certainly won't be able to change. Why you would want to stay unhappy is beyond me, though.
I can tell you from my personal experience, I was lonely in the past, I'm not lonely anymore, and if anything I've become more isolated over time. My total interaction time with other people is on the order of about 2 hours a week. I'm crazy happy, I literally love my life and am excited for every new day. The difference is in my beliefs.
Don't think that your life is wanting because you don't socialize. If you strip away the veneers of culture, socialization is just a way to find identity, meaning and pass time. You can do all that on your own terms, and some of the wisest people in history have purposefully separated themselves to do just that.