What's your budget as it gets expensive fast if you want uA-clamp measurement ability?
uA in DC clamp regi? gonna be a challenge to clean out for your "highest possible accuracy" and not drift.
I recall the UnitT 211B and the corresponding mocked-up Extech M63 can do uA on the clamp, but usually only in AC where they can muster 0.1mA resolution
An overall decent cheap AC&DC clamp meter for milliamp is the old UT210E, though not sure what they are going for here in late 2023 or if there are better alternatives for the price, as the UT210E got quite a few years/decade under its belly.. - many alternative models will nowadays do DC 1mA clamp measurement and quite a bit cheaper with dual display (freq) and higher native display count.
Previously the UT210E was around 30 to 35US delivered.. - for that price it's a decent low current (1mA res) DC clamp meter, but you will cycle that zero-button to the cows come home when pursuing DC readings down to the last mA to keep these hall sensors in check.