From Longman Dictionary of Contemporary Englishbe snowed underbe snowed undera) BUSY/HAVE A LOT TO DO informal to have more work than you can deal withbe snowed under with I found myself snowed under with work. b) if an area is snowed under, a lot of snow has fallen there so that people are not able to travel → snow
Examples from the Corpus
be snowed under• Don't expect any help from them -- they're snowed under at the moment.• He had applied for a grant but at the time Liverpool City Council was snowed under by applications.• Since the hurricane, builders and roofers have been snowed under with work. 