hey!!
i love having my alone time! think of this as time that you can rework your life and become the person that you were meant to be! i mean the contestants on biggest losers leave their families to lose the weight where they won't be influenced by others so maybe you should think of it in that way.
also, try to find what motivates you, what inspires you. for example, try to do some volunteering in your community, do community work, it's both fulfilling and you can make a lot of friends in the process. join weight watchers, or a local gym etc. you will make friends along the way.
weight loss technically is a journey you have to take on your own and it's great to have support from others but you really have to frame things in such a way so that you can be pushing forward whether you are alone or surrounded by people. and if loneliness is your trigger to not stay on plan i would say that this is a good time to really evaluate your emotional eating.
I highly recommend you read some books and I really enjoyed what Jillian Michaels had to say in her free KFI podcasts
http://www.kfi640.com/podcast/SUNDAY.xml