Welcome back!
I feel at 10 years of work experience you can choose between EMBA and PTMBA. The main difference would be that EMBA is weekends (1 weekend every 3 weeks) and PTMBA is more of an evening MBA (usually).
When choosing your MBA, consider what you are looking for. Are you looking to stay at your company or industry and grow? If yes, then you likely have the network and ability to keep at your job and not looking for an elite network and looking to pretty much pick up some skills and a credential. In that case, the rank or brand do not have a huge impact since you can use your industry achievements as a way to be your brand.
At the same time if you are looking to rebrand yourself, having a strong school brand such as Booth or potentially MIT Sloan Fellows would be awesome. (Note that Sloan Fellows is FT 1-year MBA program for seasoned professionals). It is the best of FT and EMBA in 1.
I would say that many people travel for their EMBA either an hour or a few hours by plane. It is pretty common for Booth or Kellogg EMBA to have more than 50% of the class fly in every 3 weeks. It is not that much of a hassle if you have your schedule.
Keep in mind that flying and attending a distant program, you are going to wear yourself out and thus decrease your on-job productivity which will result in a bit of a sluggish performance review type of thing so keep that in mind. Also EMBA's are not designed to help you find jobs and recruit and introduce you to recruiters so you will be networking a lot with your classmates and having a larger cohort is advantageous as opposed to a class of 30.
Your GMAT is good for another year and I feel 690 is fine for most EMBA's and PT programs - it won't make the difference or be the major driver. The good thing about EMBA's is that it is for profit education so the admissions team is more of a marketing and sales team rather than gatekeepers so if they feel your profile is lacking on paper, they will let you know. You can easily call them up and they would be happy to spend quite a bit of time on the phone trying to convince you to attend their program

Whew. That was a lot!