Do people with large foreheads look weird without bangs?

It's perfectly alright for you not to have bangs and reasonable considering the weather as of late. Sweaty bangs? Not cute. Since you have wavy hair I suggest going to your local hairdresser, telling him/her what you would like to do and have them suggest a hairstyle that suits your forehead and won't be so bothersome. Or, if that's not an option for you, you can browse the web and find pics of various hairstyles and see which one will suit you best. Good luck