Well I've always had fine and wavy hair also. I've never used a flat iron but I have used hot curlers as well as the regular hollow plastic kind. I think iron-type devices and hot rollers were designed for people with think large shafted hair. We fine haired folks need to treat ours quite a bit more delicately. Hot rollers are really heavy and those clips are rough on fine hair, too. I used to do a plastic roller set a couple of times a week, but in the last few years I've gotten kind of lazy and just style with a round brush after a wash + air dry (mostly) and some mousse. Still, now and then I'll do a curler set and wonder why I don't do it more often, it looks so good.
Anyway, my vote would be simple (and cheap) plastic rollers with bobby pins (I use the big ones). Don't set your hair wet, but when it's about 90% dry. I rarely leave them in for more than half and hour to an hour and never use heat on them. Avoid velcro rollers. Fine hair gets tangled up in them too easily and when you have thin hair already you can't afford to loose any more.
Lyric