I doubt shorter shocks would significantly alter the trail.
Main problem would be grounding out the tire on the fender on potholes.
The tire profile switch would result in next to no difference in circumference.
On my Shovelhead, I moved the shock mounts rearward one inch, it's not so easy on the Triumph. I also bolted the fender to the swingarm to prevent grounding out. Forking by Frank can alter your front tubes, you can shave off an inch and then reduce the spring length. The OIF is a tall perch, especially if you have the 1971 version.
I bought the OL a Buell Blast 500cc single, it's cheap, short and with the automatic choke and zero adjustments to make on the rear drive, valves etc. it's a pretty bulletproof little bike. She still wouldn't ride that, so I used it as a commuter for a couple of years, whenever the weather turned crappy (as it has a front fender). The rubbermounted engine makes for a smooth cruise at 75 and you can squeeze 65-70 mpg out of it. Gonna sell mine at the upcoming Detroit swapmeet with a bit of luck

The missus is using a 1978 Hondamatic 400 now, but that's a tall sucker too.
I'd recommend picking up either one of these cheapy Buells or failing that, a T100 project.