Google search turned out these synonyms for 'smelly'-- foul-smelling, evil-smelling, stinking, stinking to high heaven, reeking, fetid, malodorous, pungent, acrid, rank, putrid, noxious; off, gamy, high; musty, fusty; frowsty; fresh; informal stinky, reeky; informal niffing, niffy, pongy, whiffy, humming; informal funky; literary noisome, mephitic; rareolid, miasmic, miasmal
I am sure one of these synonyms can be used to describe the overwhelming sense of smell.Basically I feel the sense of hearing and the sense of smell are not comparable and so a word equivalent to "deafening noise" might not have been coined. A overpowering sense of smell,comparable to 'deafening' does not occur normally.While a 'deafening' noise appears suddenly and goes off in no time,'smell' always stays for some time,before it wanes off.'Blinding'is also a fleeting event.
It is interesting to note that Tamil has a word "nattram" which connotes a strong sense of smell.But again an adjective describing the smell like good or bad is prefixed in the usage of the word."ketta nattram" is bad smell.