I'm in the UK, and I've had decent laptops from rapidIT and ITZoo, both .co.uk as far as I remember. I can't remember which laptop I got from Rapid as it was a few years ago, but the first one had a faulty motherboard, and they swapped the laptop with no issues.
I had a Stonebook branded Clevo N750BU from ITZoo, which is an i7 based laptop, and Mint works perfectly on it. It's quite old now, so you'll probably get a newer one for your budget, but with a RAM upgrade it runs everything I throw at it. I use it for designing and editing logos in Inkscape and Krita, and for editing a website in html, css, and javascript, so anything newer should do it even better :)