Suggestions for removing supports without destroying the model

I use simplify 3d, with this slicer is it possible to set a free space between the support and the object.- The same option would be available with CURA, i guess.- This would be some trail and error to figure out the correct settings for your filament.

Generally i would suggest to print such little parts a bit cooler or with a tower to expand the print time/ let the part cool down.- This wobble things seem to be printed to hot.