My GF rides a 69 Schwinn Breeze and loves the front wire basket, she doesn't commute but we take picnic rides and trips to old town because I hate looking for parking.
There are also Origin 8 classique handlebar baskets, on ebay now for 45 bucks which is about 2/3 of what I paid a few years ago when I bought one for a fat bike. They are much heavier than a wire basket. I alsu just put a porland design works takeo ut basket on my single speed mountain bike yesterday, I'll use it a lot but hanging the ulock off the front is not going to work for me. Also not in your price range.
Good luck.