The phrase "am buried" can imply feeling overwhelmed or engulfed by a situation or emotion. Here are some synonyms that capture similar sentiments: submerged, inundated, swamped, engulfed, buried in, consumed by, weighed down, oppressed by, drowning in, suffocated by, overshadowed, snowed under, inundated, deluged, and buried alive. Each of these words conveys a sense of being buried or engulfed, whether it be by work, responsibilities, or emotions. Using different synonyms can help add variety to your writing and convey the sense of being overwhelmed in a more vivid way.