I'm so sorry you lost the babies. Breeding often has its ups and downs and unfortunately, there are sometimes more downs than ups - <img src="/images/graemlins/frown.gif" alt="" />
I wouldn't have thought that removing the eggs would cause them to abandon the babies, but sometimes you never know. I've been known to remove babies to check & take pictures of them throughout their growth without any problems and unfertilized eggs were removed at those times. Your pair is apparently a little fussier and does not want to be bothered, so you will have to leave them alone.
I'm wondering how you know how many eggs they have in their nest. You may be bothering them by checking & counting. Ten eggs sounds like they are starting a 2nd clutch on top of the first clutch, which is not unusual for zebras. It is very unlikely that many of these eggs will hatch, but any baby that does hatch is going to have trouble because he will be sitting on or between eggs with that many, and may have difficulty learning to stand.
I would consider removing all the eggs and nesting material and giving them another break before trying again. Or, you could try removing what looks like the bottom eggs and see if they continue sitting on the 4 or 5 that you leave. That might be better than removing the whole clutch.