I cycle that route regularly and strongly advise against riding a road bike on the Trail. It may be dry now but for much of the year it is damp/wet and often strewn with leaves which are a major hazard - ask Jimmy who I believe came off on leaves there.
I ride a mountain bike. Thick tyres with great stopping brakes - much, much safer than a road bike on the Trail. It's also a far better physical work-out - due to a heavier bike and greater road resistance because of the thick tyres. Another consideration is that I've never had a puncture on the Trail.