Engraving your logo onto clear cast acrylic, which is better than extruded acrylic for engraving, should give you the texture and color that you're looking for. Engraved areas in cast acrylic have a sand-blasted texture, and turn frosty/milky. You can setup your vector format file for engraving by color-filling the engraved areas instead of outlining them like you would for cutting.
Here is an example image:
If you have any questions, feel free to contact us!