Well, I know exactly where you are right now. I use the Fluke 87V (a must have for every electronics workbench). I have no words to describe how awesome this tool is. It is so awesome that I bought 2 of them, I use it extensively on the CNC repairs and NEVER failed me - I can trust its digits 100%. But still it is a multimeter.
And since I plan to work with inductors, I decided to invest on an LCR meter. Right now I have on top of my bench the Keysight (Agilent) U1733C. At 2 Ohms range it has a resolution of 0.0001 Ohms with 0.7% accuracy +-50 digits. I believe this answers your topic question.
I have this babe sitting on my bench for over 2 weeks and haven't managed to play yet. I'm on a factory installation and I work overtimes (incl. weekends) to catch up with time schedules. But I look forward to do some serious measurements.
My advice: You pay twice for a cheap tool. BK-P has also an LCR meter about 100 USD cheaper, but I know that one day I will face this same situation that my tool will just not be enough. As for the Extech, it is a good entry level, but I did not downloaded its datasheet when I was comparing the BK-P and the Agilent.