edit: just noticed the III series cant handle caps more the 5uF, and that's just too low. /edit
Why would you need a higher cap range? I've never encountered unmarked electrolytics, and very few circuits have 5+uF caps that require tight tolerance, it usually just power supply bypass, where something like -20% +50% is fine, and one size smaller or larger is also often acceptable. I hit the lower limit much more often (caps smaller than 100pF or so) than large caps. I use my LC meter 99% of the time for caps, and it only goes up to 1uF or so. For electrolytics, all I usually care about is ESR, and you need a separate meter for that anyway.
BTW, I've never owned a Fluke. I understand they have life-time warranty. So if I buy a used series III meter, will it have warranty? If so, all I need is the meter or is there a warranty card I must make sure I get?
I've never had to make use of the warranty, so I never researched it, but I believe the life-time warranty ends five years or so after the product is discontinued (or 10 years from date of purchase, whichever is later), so I'd expect the warranty on all series III meters to be expired. The warranty conditions might have been different at the time the series III was sold (did they have life-time warranties then?). Warranty is also typically non-transferable (although they might not check). But it's hard to argue for paying $300 instead of $100 just for warranty, unless you expect the meter to die multiple times during the warranty period.