Frankly, I've found there is no way to "cope" with loneliness. Loneliness emerges as a negative reaction to being alone, that is, alone in the psychological sense. Unloved, undersexed, isolated with you worst critic (you), etc.
(You can, of course, be in the presence of many people, and feel even more lonely because you're right outside the gates of understanding and comradery but there is seemingly no way in, which is worse than seeing no possible solution.)
The only time I haven't felt lonely, is, sensically, when I'm not alone.
Frankly, I believe art and other distractions are stalling tactics at best. I've gained at least basic competence in at least 2 art forms (3 if you count "poetry" and "prose" seperately), and my loneliness has not been alieved (SP?).
The crushing existential emptiness of loneliness can only be solved by having good companions in life, and probably also by being in a steady romantic relationship (I'm sorry if this scares you (socially awkawrds like me), dissapoints you (cynics), or makes you angry/sad (pessimists), but they cover things that regular things, family, and you yourself cannot cover, and no, I'm not just talking about being undersexed, thought that's pretty crucial).
In short, the only solution to not being lonely is to not be alone. Art and other distractions allow us to not shed the fears and/or social habbits that keep us lonely. They only allow us to express how we FEEL about being lonely. Other people make us not lonely.
That said, while I acknowledge these truths, it takes a lot of courage to put them into practice, which I have yet to do.