Sleep Problems

Hi everyone! I write this as cheerfully as I can after breaking down crying on the floor today. My 4 week old will not nap. I’ve been Googling like a crazy person for weeks now and today was the worst day we have ever had. We are just about to go to bed and she has only had a little less than 11 hours of sleep. Most of that time was in 10 minute or less increments with the longest nap being half an hour. We have been trying to be really strict about safe sleep but even letting her sleep in our arms did not work today. She is swaddled, dark cool room, has had a bath, has been offered lots of bottles. She’s been rocked, bounced, carried in the wrap. She has a pacifier. We’ve tried both the crib and the bassinet, been outside. Swings. I’m at my wits end and I know she’s overtired, but I can’t figure out what to do. Can anyone relate or has any magic? She usually sleeps 3-4 hours at night but it’s not looking promising tonight. Please no one suggest cosleeping, because that is the one thing we will not do.