Online MBA or non target MBA

Ok, I know this has been discussed recently, but I am going to try and be a bit more in depth. I am a senior at a non target in NYC area majoring in Finance and Econ. I will graduate with a 3.98 gpa and will be working FT for a MM IB in NYC. I am a veteran and my GI Bill benefits will pay for roughly half of a top programs costs. I am not smug enough to think I am guaranteed to get in a top school such as penn nyu or Columbia, but that is the goal. I am an older student (closer to 30 than 25) and have a family (wife and kids). Are there any online MBA programs that anyone respects? I would like to work in either NYC or Philly going forward post MBA. I have thought about a part time MBA as well. All in all my question is, after serving 8 years in Marine Infantry, graduating with 3.98 and decent FT MM work experience in NYC should i make a full court press for top MBA program and deal with the debt and family pressure that will arise from it? Or can i find a viable debt free online MBA with opps post grad?

Thanks