In my humble opinion, it is important to be able to attend the events.
I totally get where you're coming from, I was in the same predicament before

lunch time isn't enough to go anywhere, and some after-hour mixers went pretty good, but I was stuck with unable to follow-up afterward. If anything, they lead to frustration, wondering coulda, shoulda, woulda.
I understand when you were doing this PT, and your FT job felt like it's in the way. However, from what I've told by the other members, if I can't be active, can't go network and
start building relationship with prospects..I would better off throwing that $300 into trash

yes that's what they said.
So I took their advice. I went to as many after-hour events as I could, just start talking to people, getting to know them (not offering my service just yet, until they asked for it), and now I'm finally PT with my day J.O.B. I already knew some people. I will start attending my first Ribbon Cutting tomorrow, and already have most of networking events scheduled in place. Hopefully the former prospects still have the opportunity open, now that I can (read: have the time to) actually do the work.
Just my two-cents