I've been deaf all my life, but haven't really interacted with other deaf people and primarily spend time on the outer edges of hearing circles so I can understand how you feel.

I don't really have much advice here because I still haven't really figured it out myself.

I'm not sure what your circumstances are, but what I've done so far is join a small volunteer/social group through my university and participate in volunteer activities on campus whenever I can to try and increase my social visibility and get out of my dorm room so I don't run the risk of my loneliness turning into a crippling depression.

Sometimes I go clubbing with a few other people who invite me along and get pretty drunk. It feels nice to dance with random strangers because conversations are the last thing you think about and you're too drunk to feel that twinge of loneliness. However, it's only a quick fix that doesn't do anything in the long run, so I rarely do this (I couldn't afford to do it often anyway).

I did join a team sport last semester, which can help depending on the sport and the other people playing, but my feelings about my personal experience are a bit mixed. While the game was fun, and I personally did reasonably well. I missed out on nearly everything else. No one would bother to explain (even if I asked) when the ref blew the whistle signaling that someone committed a foul so while I knew something was going on I had no idea what it was or what the current status of the game was. Additionally, some team members genuinely did not understand what being deaf was like and would blurt out stuff that were rather offensive (but probably unintended). I also had to skip most social events after the game because I would be completely lost in all the jabber.

Basically, I just do the best I can to get out there and meet people to try and combat the loneliness while still coming to terms that my hearing loss and its effects are a permanent part of my life.