Is the sample pattern right, other than the tension/yarn issue? Actually, what I need to know, is is the shape right? If your yarn is really chunky, then yeah, a normal rib, or a slightly fancy rib, would be best, cabling at that size would be a bit strange I think.
Do a sample square with a good number of stitches and rows, and give me your stitches per inch, and we can work with it. (Don't do rows per inch, I think we'll do rows by inch, as in "knit until it measures X", not "knit X rows".)
Hmmm, had another look at that pattern picture, and really it's a beret, it just doesn't quite look like one in the photo. (Um, also, the associated pages are all in Japanese? I think? I can't read Japanese.)
But we can do something midway between a beret/tam and a normal hat, or do a normal hat with a bit more volume in the middle, iyswim. The other sample picture actually looks quite a bit like a rasta cap in shape - a really really big normal hat, really.