Obviously Honda built the F6 for people like you that wanted, cheaper, lighter, more sporty and don't carry a passenger so they didn't need the nice backrest and trunk.
That being the case, it might be a good fit for you if you can live without some of the stuff that is only on the Wing.
As far as the F6 being lower....I'm not sure that is true but if it is, it's not a good thing IMO. I've done a lot to raise my GL1800 to give it a bit more clearance in the corners. I definitely wouldn't want it lower...but that's just me.
2016 KTM Super Duke GT
2015 Honda Grom
2015 Yamaha FZ-09
2013 Honda GL1800 ABS
2004 Suzuki GSXR 750 (Track)