Sorry, ignore my post about the 4910: I was confusing the 4910 with the 7001. I used 1Ah AA NiMH AA cells in the 7001, which was designed to use AA cells. So I imagine they built the proper charging circuit for it. I wouldn't replace the SLA cells in the 4910 with NiMH.
My 4910 survived well over 48h on battery, so I'm not too worried about the state of the batteries yet, and I couldn't find easily available cells with the right dimensions from a reputable brand.
I believe some people have used NiMH cells in the Fluke 731B which was originally designed for NiCd cells. Some industrial NiMH cells say they are okay with trickle charging at a very low current, and as you install higher capacities cells while the charging current remains the same, the current relative to the capacity goes down (so 0.01C becomes 0.005C if you double the capacity). So it's probably sort of possible under the right circumstances, but not worth refitting a unit designed for SLA cells with in my opinion.