The Fluke 8845A and 8846A are discontinued. I have the 8846A and wouldn't give it up for any other, although it does have its issues (current ranges) and is indeed an older design with a VFD. It is very straightforward to use and has a good array of features. It has things like 1G ohms, selectable continuity thresholds and diode test voltage/current, 1000VAC capability. If you can still find it for sale, I'd recommend you seriously consider it. The 8845A lacks some of these as well as capacitance, so I wouldn't go looking for that model.
Autoranging speed and fast continuity aren't usually things that high-end bench meter buyers look for, so you might want to look at less-high-end models and make sure to get feedback from people who actually use the model in question. Some of things you want to know aren't found in the datasheet specs. Also, your plan to track down shorts with a meter having milliohm resolution isn't an easy one to implement and requires specialized probes, such as the 2X4 Fluke models that were just for the 8846A/8845A.