Well...
As you are against soldering and attaching cables, you can use a Catweasel device off the IDE port to add two more Amiga floppies is DD and HD. that can be addresses as DF2 & DF3.
Or ask AmigaKit or someone to make you one; SACC should have tons of people to make one. Heck, I probably have the crap here at home to crank one out, at least a 23-pin male D-sub and 34-pin cable (not sure of the port header).