The following is a list of players in the MLB who are hitting line drives in more than 20% of their ABs, but have a BABIP below league average.  These are players that you might want to consider holding onto if you own them, or trying to acquire on the cheap as their luck could change, soon....hopefully!
 

Baseball's Luckiest Hitters - High FB% High BABIP


Guys like Evan Longoria, Robinson Cano, Kolten Wong, Alexei Ramirez and Brandon Crawford have seen their luck turn around over the last two weeks and their BABIP has climbed above league average.

NameLD%BABIP
Brian Dozier32.60%0.282
Curtis Granderson31.00%0.286
Brad Miller27.90%0.300
J.D. Martinez27.90%0.290
Jordy Mercer26.50%0.221
George Springer25.80%0.242
Will Middlebrooks25.70%0.211
Chase Headley25.00%0.288
Michael Bourn25.00%0.250
Ryan Howard25.00%0.254
Sam Fuld24.70%0.247
Andrelton Simmons24.20%0.293
Carlos Gonzalez23.90%0.246
Jason Kipnis23.70%0.297
Nick Castellanos23.50%0.288
Alex Rodriguez22.70%0.250
Jose Abreu22.70%0.300
Hanley Ramirez22.50%0.229
Wilmer Flores22.20%0.267
David Ortiz21.80%0.257
Aramis Ramirez21.70%0.242
Chris Owings21.70%0.288
Austin Jackson21.60%0.284
Kyle Seager21.30%0.261
Carlos Beltran21.20%0.258
Melky Cabrera21.20%0.294
Billy Hamilton21.10%0.250
Justin Morneau21.00%0.291

Stats via FanGraphs That's The Way Baseball Go