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.