Keep it short time in world for the characters, have full adventures run over only a day or two with little to no downtime. This really limits healing, it makes those 5 healing potions a day really matter.
Keep the players moving, they should be worried about running out of Strain a lot.
Crit often. Wounds in this game really are not that serious, they are the smaller things in life that just build up. Long term injury is what Critical Injuries are, if they are carrying three or four then dealt is actually possible.
Have more than just their story happening. If they choose to go off and save the nearby town then they should also hear about the other three that the beastmen ransacked.