I'm a morning person too when it comes to exercise. I'm really no good for anything after noon. Looking back now, when I was still working, I used to cram everything into the morning & never did anything productive after lunch.
As others have mentioned, start thinking about what you want to achieve after you've finished couch to 5k. I really enjoy Parkrun, and it's great that you can participate in them in various locations and whatever your ability.
I also enjoyed the "Blue Run" in March this year. It's basically 2 laps of the Etihad Stadium & Campus, all whilst having blue powder chucked at you. Noone takes it too seriously, you get a medal & a t shirt, and can raise a bit of money for City in the Community.
You just have to put up with Danny Jackson taking the piss out of you a bit, but it's all good natured.