Hi @demarcus thats an interesting question, and yes - infection/inflammation in the nasal passage can irritate the nerves in the area leading to activation of the sneezing reflex. Inflammation is mediated in part by the release of histamines, which can occur with mast cell activation. As you said, the histamine then triggers the release of other downstream inflammatory chemicals which together lead to vasodilation (increased blood flow) and immune/white blood cells in the blood stream being activated to the area.

If you're still curious to find out more about mast cells and histamine, heres a resource with more information:  
https://www.frontiersin.org/articles/10.3389/fimmu.2015.00620/full#:~:text=In%20the%20skin%2C%20antigens%2C%20via,this%20can%20lead%20to%20angioedema.