I used Meshmixer's sculpting tools to allow for a slope underneath the horizontal braid at the top of the basket. I also filled in some gaps in first layers of the model.
The file is 23cm tall, and I was able to print the overhanging areas at 0.20 layer height on a 0.6 nozzle without problems.
I accidentally sized the sculpt brush too big on one of the overhangs and it bled through to affect the top side of the inner bucket. It is barely noticeable, but if I get some time in the future I'll reupload the file without that. I wanted to make a custom, disposable bridge at the top of the underside of the handle as well but if you haven't tried Cura's new Make Overhang Printable feature will do this now! Plus, it would allow you to do much thicker lines if you don't mind the puffy look.
Easter_Basket_smoothed_23cm.stl | 7.5MB |