Running 60fps or even 70fps on 60Hz will be better compared to 144Hz. At least you can enable VSync in the game and cut the FPS to 60. Not the best solution but better than nothing.
The best solution is to use GSync or Freesync and a 144Hz monitor. Anything over 60FPS and you take advantage of it, and no matter how far below 144fps or above, the sync will make things crystal smooth. Especially at 1440p, the hardware today just can't push 144fps and adaptive sync is so useful. People arn't adopting the technology fast enough.