dough hook

I saw a 3 quart SS mixing bowl for my 6-quart KitchenAid mixer model (KP-26) on Amazon. I'd like to buy one for mixing small batches of dough, but I'm pretty sure that my current dough hook would be too long for the small bowl.

Are there any bowls/dough hook combinations other than the 6 quart size that I could use on my machine? My current spiral-shaped hook doesn't really grab the dough well unless I use about 600g of flour or more. I could use the beater blade, then the hook, but I want to avoid that, if possible.