First, go look at Fisco. These are UK-made and they are an OEM for many companies (I have a Slovak Kinex sticker version...).
Specifically I would go for their Tri-Matic:
https://www.fisco.co.uk/tri-matic.html
But they have many very good models.
That said, if you need accuracy, you need to remember
Class DOES NOT tell you how accurate the measure you buy is.
Unless you own a calibrated ruler, you need to have your measure calibrated to KNOW how accurate it really is.
E.g. I got lucky and my 5 meter Class 1 which I had calibrated is accurate to 0.1mm up to 2 meters and upt to 0.2mm up to the end.
But I have another Class 1 rule which still falls under the max allowance (0.6mm over 5m) but is 0.4 off at 2 meters and about 0.3 off over 5 meters. The problem with that one is not so much that it less accurate, but that
its "inaccuracy" is inconsistent across the length.
This is why a tape measure calibration report will actually include multiple measurements. Report for my Tri-matic had 15 measurements. After each 200 millimeters.
So best advice is, go get a good measure, but even more important: Get it calibrated. At least once when you buy and if you treat it well, it will stay accurate for 5 years plus. At which point you can buy another one calibrated ... It costs about €15 over here, prolly more in the UK, but is well worth it.