At that budget and if it's just a temporary thing I'd be going used mate, it's a bit of a roll of the dice but you should be able to find something decent local enough to go and see, plus you shouldn't lose much or anything if you want to sell it on and upgrade later.
For what it's worth I've got one of these which I've been very happy with, no bells and whistles, not ultrawide, just a decent 32" 16:9 panel, but it blows your budget. Think I picked it up on sale for £300. It's far from the greatest but I wanted a big screen for work as well as gaming.
https://www.amazon.co.uk/dp/B01N0RPGP7/?tag=cliospnet01-21
Don't get too hung up on the headline refresh rate being 5ms or 8ms, it's basically marketing b****cks that just says how well the screen can possibly shift a pixel in the most optimal of conditions.