Thanks for the suggestions.
If I can muster the energy I will try to quantify this better. I realized after posting that osc is over 10Hz and less than 60Hz, the oscilloscope (rigol 1054) was probably giving me the wrong number--it tends to do that on waves that are not rock solid. I did notice, in support of your suggestions that the oscillation was larger in magnitude with high Vin. Like I said, I put the maximum datasheet Cin, Cout on it and it still persisted.
As to the line causing these issues that is quite possible but I believe this would, in any case, be an issue only for the REF70. I have numerous other Vrefs that work fine--Ltc6655, max6126, max6350, ltc6657, ltz1000, lm399, adr4525. Also measured noise on 731B plugged in to same line. None of these show a problem (tested on the same day were only the ltc6657, lm399, ltz1000).