Frankie,
To my knowledge there is no such thing as a NON-POWERED mixer that has effects. You can buy a very inexpensive resistance mixer, but without a powered mixer there is no way to power the effects processor.
I'm currently using the Alesis 6FX when I have a couple guitar players and singers with me and it does a great job. Sells for about $100 and has 100 effects built in.
Good Luck
Gary
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Travlin' Easy
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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!
K+E=W (Knowledge Plus Experience = Wisdom.)