Higher altitude would work--rings tend to thin out once you are outside of the Roche limit, and in LEO (few hundred km or less), particles' orbital lifespans will be short enough to keep that population thin as well. Notice how Saturn's thinnest rings are the innermost and outermost ones, while the A, B, and C rings are the densest and brightest.
I would wonder about the rate of large meteors falling onto Earth's equator (from ring particles that fell onto Earth) if we had rings like that, since at Earth's distance from the sun there would be very little ice and the particles would be mostly stony or carbonaceous.