You might be able to find a Trucker Deluxe frame in your size. That'll pack into a suitcase, saving $300 over a full size bike, but you have to build it up (or have it built up) with parts you buy. Depending on your size, you may have to disassemble it even further than the full-size option to pack it.
If it were me, I'd take the BF you have and put up with the trailer. You're going to find that any bike carrying luggage seems slow compared to an unloaded bike. Better the devil you know, IMHO.
I've owned and traveled with a bike with S&S couplers and they are not for the mechanically feint of ability. Disassembly, packing and reassembly are fairly time consuming and detailed. Also, the travel case is not even a trailer so you have to store it somewhere while you tour.
So unless you ship the bike in a disposable cardboard box (and find a replacement for the return trip) you are going to have to store some type of shipping container somewhere or tow it along like the Bike Friday's.
Given that, if you are flying into and out of the same airport, you could arrange to store the shipping box at the hotel you use the first and last night or rent a locker at the Airport for the tour period.
As to which Touring model bike is the "sportiest", they are pretty much all the same and none of them are "racing" bikes. However, by removing the racks and fenders, fitting thinner high pressure tires, and perhaps, a tighter geared cassette any of them will make a satisfactory road bike.