It looks hand-washable to me - just lightly in the sink or something, then hang to dry. The only concern would be wrinkling after it dries ( I find cotton wrinkles even if hung to dry).
It does not look like a blouse that would be easy to press. Do you have a steamer if needed? I might be a tiny bit concerned that the ruching around the lower half of the blouse wouldn't look right after washing, no matter how delicately. Hmm...lay it out flat on a towel on your ironing board to dry. Straighten out/smooth it out on the towel. I do this with sweaters and it works well. Another thing you could try post hand washing, air drying ...is something called Downy Wrinkle Release - you spray it on, and smooth out wrinkles. It works fairly well. You're not going to be able to iron this thing very easily is all I'm saying.
I've been resisting taking things to the cleaners too. I used to take stuff there at least once per week, but my lifestyle is different these days. Thing is? There are lots of cleaners close by, so I should just start dropping stuff off again.
Do you have other 'dry clean only' items that are just hanging around? A cleaner that is conveniently close by?