To express an even higher degree, you could use:
* Most heartily: This emphasizes the intensity of the action.
* With the greatest heartiness: This is a more formal way to convey a high degree of enthusiasm.
* With all your heart: This emphasizes complete and sincere dedication.
For example, instead of saying "He laughed heartily," you could say:
* He laughed most heartily.
* He laughed with the greatest heartiness.
* He laughed with all his heart.
Ultimately, the best option will depend on the specific context and the level of formality you are aiming for.