In direct shear, the sample is consolidated to the specified normal load prior to shearing so that should not really be an issue. To me, the big issue is do you need a drained strength or undrained strength? Direct shear can really only give drained strengths, although there have been some methods using direct shear where undrained strengths could be approximated, but not reliably in my view. If you need undrained strenght, you would need to go to triax.
The other consideration is failure mode. Direct shear is basically a plane strain test where you are forcing the failure through a particular plane. Triax allows the shear to happen with more freedom, and you will typically obtain lower strengths compared to direct shear.