From my experience, when I start thinking about lack of time it is rarely the reason but more likely the reason is burnout. Starting a completely new project is such case rarely was the solution for me. Dunno if this is the same in your case, but usually we programmers tend to fall for the same illness

I would pursue the games path. You could make not a whole game, but one system only. Take all the code you have and put it together (online), check what is missing and add it. Do not think about the final game yet, just make all the basic work. It will be very useful once you find the "time" to make games. Or you can join a rapid "one week make a very small and simple game" competition with me (I'm more than eager to join some shortterm competition anytime

).
If you start something completely unrelated it will waterdown your motivation. You might fell like you are cheating. At least that's how would I feel in the situation described above
