Finding synonyms for the word "orgiastically" can be quite a challenge as it is a very specific and intense word. Some possible synonyms could include "passionately," "exuberantly," "rapturously," "ecstatically," "frenetically," "intensely," "wildly," and "voraciously." Each of these words conveys a sense of intense emotion or physical activity that could be associated with an orgy or similar experience. However, while each of these words may capture some aspect of the meaning of "orgiastically," none are quite as specific or evocative as the original term. Ultimately, the choice of synonym will depend on the specific context and intended connotations of the sentence.