How about some gambits?
A:  Roll a special number.  Then roll again.  If you match this number, your next 3 rolls double.  (Absolute value or from mean)
B:  Mean double mode:  Roll a number over 50 and that number doubles upward from 50.  Ex:  d100=60 :: 60-50=10 :: 60+10=70.  Roll a number under 50, and the opposite occurs.  Ex:  d100=30 :: 50-30=20 :: 30-20=10.  Results expanded to -50<x<150.
C:  Two rolls forward, one roll back.  Roll three times, adding the first two, then subtracting the third number from the sum.