I have spent the last 10 minutes looking at your photo, and here are some suggestions.
#1. You are printing too hot. This is apparent in the way your prints look, as they are very shiny. If you compare the plastic going in, to what you have printed, you will see it is shinier on your printed model than it is on the spool. For now, lower your printing temps, until you get dialed in, then- if you like the shiny, which I do, you can move back up.
The other sign that you are printing too hot is that your prints are sagging in areas they really should not be.
I am guessing your 4th (headless) print is cooler.
#2 Active cooling, if this is PLA. This will cool the layers as you print, preventing the curl that your extruder is hitting previous layers.
#3 probably lower you extrusion multiplier, as you are overextruding, which makes the plastic too thick, helping the extruder to hit previous layers.
Finally, I would suggest you start with calibration cubes. No point in trying to dial everything in with a model that takes so long.
Read the sailfish manual. Print 100% infill until you get everything dialed in for a great print. (100% shows temperature issues and overextrusion issues well)
Finally, if this is ABS, then you dont necessarily want a fan on your print, as it will help it curl, if it is PLA, use a fan on your print, and it will help it not curl.
Also, 15 seconds may not be enough. Or print two at a time, or a cooling tower (tall cube) so each layer has enough time to cool before the next layer is put down.
I can help you further if you tell me what the material is, if you have a heated bed or not, if you have a fan or not, etc.
One other note: Watch your print closely. I am not sure this is curling, causing the print to warp upwards, and getting caught.
This looks more like hot plastic has poor bridging or layers on itself on the print, causing it to spaghetti, leaving curls that get hit by the extruder. This is a cooling issue, probably combined with an overextrusion issue, and probably not warping or curling, if I am guessing, which I am.