Several thoughts:
1) EMBAs at top schools (and they don't all offer them) are designed for top level executives with 10+ years work experience, so you do not appear to qualify yet for that bracket. If you did, that sounds like it would be a good option for you since you plan to keep your current job because:
2) It won't say EMBA on your resume or diploma, it will only say MBA, Wharton, or MBA Harvard, for example. The only time it would likely come into play would be if you were seeking a new job at graduation. Beyond that, you fall in the same box as every other MBA graduate and there would be no way for anyone to know you even did the executive route unless you told them.
3) If you want the MBA now, part time seems like a good fit for someone who is doing well at work and wants to keep their job. Again, not all the top programs offer a part time MBA, but just like the EMBA, your diploma and resume will not say MBA, part time program, but rather just MBA like everyone else.
Hope this helps.