I don't usually "draw" in PhotoShop, so I probably don't know all of the tricks.
But what you could do is draw all of your curved lines on a scaled-up copy of the master file, then scale it back down and copy/paste into the final file.*
Remember: there is no such thing as a half-pixel. If you want to represent something thinner than 1 pixel, all you can really achieve is the illusion of it being thinner.
*ps. don't scale your master file up and down, or you will end up with fuzzy pixels. The way that PhotoShop (and all bitmap editors) interpolates pixel data when resizing is something that can be very tricky. You can actually have a detail (for example, a panel line) that is 1-pixel-wide in high-res mode, and when it scales down to normal-res, that 1-pixel detail actually becomes 2-pixels. This doesn't make apparent sense until you understand just how the program is making its calculations.