I think right now the processing gain limit is about 20 DB with currently available software. As for around the world stuff, UK hams have been seen on the east coast on 73 Khz and Zl6OH has been seen many times in W, K and VE on 137 khz. If you are an active ham you might be interested in this, I am within 350 miles of 4 lowfer stations each running about 2-3 milliwats erp, 1 watt output into an antenna less than 50 feet. I can hear the closest station 287 miles using DSP, the far station is hit and miss on visual cw DSP, but I have yet to see or hear any identifiable signals on skywave, implying that on 185 khz at 2 mw erp a 350 mile groundwave signal is many db stronger than any similar skywave signals.
The purpose of all of this is to see if an average amateur station, 100 watts into an antenna next to the garage can be provide effective communications on LF. Since it seems likely that Canada and the US support the idea of a Longwave ham band.