To express a strong need or desire:
* Crave: "She craved a solution to her problems."
* Yearn: "He yearned for a better life."
* Long: "She longed to escape her current situation."
* Plead: "They pleaded for mercy."
* Beg: "He begged her to stay."
* Despair: "They despaired of ever finding a cure."
To express a sense of urgency or desperation:
* Scramble: "They scrambled to find shelter before the storm hit."
* Clutch: "He clutched at the rope for dear life."
* Grasp: "She grasped at any opportunity for escape."
* Panic: "They panicked when they saw the fire."
To express a feeling of hopelessness:
* Give up: "He gave up hope of ever seeing her again."
* Resign oneself to: "She resigned herself to a life of poverty."
* Submit: "They submitted to their fate."
The best verb to use will depend on the specific context and the nuance you want to convey.