Is it always bad to settle?

Sorry for the lengthy question, but please read.

I have been divorced for 3 years. In this time I've had 3 relationships and 2 other girls that I dated briefly. None of these women have worked out for me basically because they've all had one thing in common, none of them have jobs. Not having money doesn't bother me, but not having responsibilities does, especially at their ages (early to mid 30's). I find that these women I end up with are so out of touch with reality having never earned their own keep, most of these women still lived with their parents. Now the reason I end up with these type of women is simply because I work second shift. I have for the last 15 years. My free time begins around midnight, most working women are in bed by then. I end up meeting women I like but our schedules are not compatible, weekends are not a option since I have visitation with my children. So eventually I meet a woman who is free during my free time and always it's because she doesn't work. So recently I met a nice woman who shares my interest, as a matter of fact we have a whole lot in common, we both have compatible schedules, and she has a job. So it seems like everything should be great, except that her idea of together time is different than mine. During our last date together she got up and left the room to eat ice cream in the kitchen without telling me where she was going or what she was doing, I sat there for a good twenty minutes thinking she really had to go to the bathroom. She has done things like this a lot during our dates. Just getting involved in something else instead of giving any of her attention to me. She once invited me over to hang out before I went into work, and she was on her cell phone the entire time playing games, her dog gave me more attention that day then she did. I told her the other day how I felt about this and how it bothered me, she responded by saying that the last relationship she was in the guy hardly paid any attention to her, so this is what she's used to. I explained that I still think that her level of togetherness has to improve for it to work, now she is questioning if we should even date. Other than our time together feeling less than perfect, I like everything else about her, and given my schedule I can't be too picky. Would I be settling if I just accepted her version of together time? Would this be a bad thing even though I would be less than 100% happy?

By the way, given my work schedule I've tried internet dating but was not successful. Too many women fail to actually read the ad and just look at my picture and send me messages while completely missing everything that I say that I'm looking for in a woman.