My 305 did. I have the 3. 73 gears and it was right around 70 - 72 mph. It also happens with the 4. 10 gears, but at a lower speed. Most of the vibes in this range are actually more consistant with RPM speed rather than vehicle speed. Most guys are seeing the vibration between 2000 and about 2200 rpm which happens to be about 70 mph or so if you hvae 3. 73 gears.
Some guys have found unbalanced shafts, etc, but on my truck, there were two things -- The first was the power steering hose did not have a weight on it to dampen the vibration entering the steering column. Second, the exhaust mount on the transmission can also cause some vibration. Tons of things, do a search and you'll find a lot of info. These were just the two that my truck had.