Not drunk, as with wine. Drunk, as in imbibed. To be drunk like a tea, not to be drunk like a sailor.
In other words, “I smell like tea.” Therefore, “I smell like I should be drunk.” That was my observation the first time I used one of these pillow things:
As directed, I nuked it. I laid it on my aching neck. Ahhhh!!!! Mighty fine!
I proceeded with my writing. Gradually, through my ponderings in the Book of Revelation, my brain started to awaken to olfactory perceptions it was subconsciously sifting from the odoriferous waftings drifting unobtrusively twixt my nasal flaps.
Among them, familiar smells: peppermint, chamomile, spearmint, lemongrass.
The smell of teas I drink, on me = “I smell like I should be drunk.”
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And for those of you needing your morning introductory grammar fix, drunk as a verb, not as a predicate adjective.