For 200-300 you could get a nice Logchamp. Their bags do go even higher than that so you might have to be careful but it depends what size you're looking for amongst other things. I have spent more on other bags but I have NEVER been disappointed with a Longchamp, they last beautifully, are more stylish/less clunky than Coach imvho.
They're not exactly cutting-edge but some of the designs are just so elegant and beautiful.
Leather is gorgeous and much softer than eg Kate Spade/Coach/Lauren by Ralph Lauren.
Yes, a lot of their bags go up easily into the 400-500, even higher.
But with your budget, assuming you can make a small-ish bag work for your lifestyle (and not be cramming everything into a plastic bag alongside it!) I would absolutely go for a smaller Longchamp rather than eg a larger Radley or Cocinelle or something.
I press-ganged DH into buying me a Loewe for my 40th but slightly wish I'd gone for a Longchamp instead! My budget was a bit higher (special birthday!) so closer to 800 but I could have got a STUNNING Longchamp for that instead of a lovely but not so usuable lower-range Loewe. I was seduced by the brand name, silly me. Admittedly my Loewe is gorgeous but when I think of the Longcha,p gorgeousness I could have got for 800 I feel very very silly indeed.
Happy shopping! I LOVE a bag thread and people know a lot on here...