Stylish sunhat - how to tell what suits me?!?

[latherrinserepeat]

I am on the hunt for a stylish sunhat to protect my pale and pasty English Rose complexion from the sun, now and for my hol in Greece at the end of May (yeay!).

Trouble is have no idea where to look or what to look for . . . . my usual "style" is fairly safe, lots of neutrals and I buy from jigsaw white co white stuff kew etc. I only know I don't want a baseball cap!!

Any suggestions please? Oh and budget-wise not too spenny, under £40 would be best - thanks!!