Asian market with half-decent bike parking from the north side?

I'm on the hunt for big bags of rice (and various Asian staples), and pretty much every northside (Lakeview) grocery store sucks for those things. I recently went to the new Gangnam Market, and while it's flashy and cool and has good bike parking, there's literally one brand of rice. ONE. I need at least brown and white available, as a *bare minimum*

Ideally it's bike parking I can get two points of contact with because I shop with my e-bike, so I'm not taking any chances. I checked out Joong Boo and Tai Nam, but based on google street view it seems that bike racks are nonexistent. A bummer. H-Mart downtown has bike racks but they seem to be the dumb wavy racks and I really don't wanna be that guy taking up the entire stand so I can lock up both wheels. I would just say fuck it I'll take the train but biking is just gonna be like 15-20 minutes quicker there and back no matter the option. Any suggestions or is my info on these places outdated?