Maybe you're being too strict with the "psych" label?
It's kind of a misleading label in general. Bands like Ty Segall, that are definitely garage bands, use a "psychedelic" vocal effect and suddenly they're in the big pool of psych bands. It's a term that's used pretty widely, and is often misused (just like shoegaze is, constantly). But hey, what can you do.
5/01 - Sleater-Kinney - Palladium
5/03 - Lightning Bolt/Liturgy - Echoplex
5/05 - Thee Oh Sees - The Smell
5/08 - The Acid - El Rey (?)
5/14 - Melody's Echo Chamber - Roxy (?)