not a direct answer to your question.....
I ride a road bike in our tri's around here cause we've got rolling hills and some climbs and I feel that I have an advantage over those on tri bikes.
Could you.....switch the seats...put the tri seat on the road bike?
Could you pull on road shorts over your tri shorts in transition then pull them off to run?
This won't really help you, but I often wear my tri uniform when I'm just out riding and then I wear regular bike shorts under my tri shorts
"Being retired from Biking...isn't that kinda like being retired from recess?" Stephen Colbert asked of Lance Armstrong