A cyclic vibration is usually not caused by tires or bearings or an imbalance in any component, especially when it's only noticed in a certain speed range.
One possible cause is the frequency of the engine vibration caused by firing pulses (normal vibration, not an imbalance) matches the natural harmonic frequency of the chassis/body of the car. You may have seen those heavy rubber mounted weights on transmissions before. That's what those are for, to change the vibration frequency of the drivetrain. It's similar thing to an interior exhaust drone with certain mufflers. The frequency of the exhaust pulses in the mufflers matches the natural harmonic frequency of the car and,,,,,,,,,,DRONE.
Drive the car in 2nd gear at about the same rpm as 70 mph in drive and see if you notice the same vibration. It won't be as strong but would still be there.
So,,,,,,,,,,,,,first thing I'd take a good look at is your rear trans mount, and also the engine mounts. Make sure the rubber isn't collapsed, mushy or solidified. Look to be sure nothing is grounding out on the chassis or body from the engine/trans also, even the exhuast and it's insulators.
Reason I say this is, I chased the type of cyclic vibration you are talking about on my car. It came on about 55 mph and continued until 70 mph. Tried everything with no change. Then, just to be sure, I replaced the urethane trans mount insulator with a stock type rubber one from Carquest and,,,,,,,vibration gone. It was the drivetrain natural vibration frequency matching the car causing the harmonic resonance, which feels like a vibration and it can get VERY irritating. It was bad enough I never wanted to drive the car above 45 mph.