Hm, seems like people here are also divided between thermal imaging and resistance based methods :/
I have a Fluke 17B+, which is a 3 1/2 digit meter and kinda useless for anything <1Ohm. I have a Peak ESR meter that goes down to 0.01Ohm but is also limited by being 2-wire.
The shorty seems like a really neat device, but I'm not really up for a project like this. It involves an Arduino and I'd have to get a case for it etc., I'd rather just buy some kind of meter.
These Vici VC480C+ meters seem neat:

Specs:
https://ae01.alicdn.com/kf/S591a11dab36649c0a22daf906bf89603w.jpgThere's also the YR2050:

The probes are kinda useless with both of them, not sure how cheap/available 4-wire sharp-tipped probes are. Here's a review of both devices from Learn Electronics Repair:
(Haven't watched it yet!) Edit: Just watched it. The Vici seems like a decent choice, too bad it's so bulky and the probes are also bulky :/
As far as thermal imagers the UNI-T ones seem good, but are somewhat expensive. There's the knock-off looking Noyafa NF-521 for ~150EUR:

The cheaper sub-100EUR options all look a bit useless.