For that price, three EDC-type lights came to my mind:
Gerber Infinity 1AA
Inova X1 1AA
Mini MagLED 2AA

If you want brighter, then the Mini Mag is the choice. But for smaller, sturdier, or longer runtime, I'll give the edge to the Infinity, but the X1 is also a good light for the money. All three are about $20.

My wife carries a 2AAA Rock River. She rarely uses it but is satisfied with it. However, I feel like it's a bit flimsy, so I wouldn't necessarily recommend it for EDC, but that's just me.