Will online/distance bachelor's/undergraduate degrees be less considered for admission into top MBA programs like HBS?

 
You want to get an MBA from Harvard, arguably the most prestigious MBAprogram in the world.
 
Yet, you don't have a degree, haven't taken the 1/2 hour to call your undergrad program to see if you can finish your degree, apparently haven't done the research on completing an online degree ("...might be able to..."), and haven't considered night school or some off-work degree program ("...don't want to give up work...").
 
Yes you've done some good in your professional and charitable life, but the lack of research skills, motivation, drive and unwillingness to sacrifice that will be required to pursue your graduate (and undergraduate) studies show that your candidacy would be sorely lacking.
 
THERE ARE NO SHORTCUTS.
 
If you want it bad enough anything is possible, but your question SCREAMS that you don't yet want it bad enough.
 
To answer your direct question - All aspects of your application will be weighed, the question becomes if the plusses outweigh the minuses enough to get you into the school of your choice. 
 
You have more work to do before you go down this road.