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Various methods to overcome the difficulties in the fabrication of high-quality (Q) optical nanofiber microcoil resonators are investigated. Modifications of the resonator geometry by wrapping the nanofiber over nonuniform rods and/or by varying the pitch alter the resonator Q-factor significantly. These effects are quantified, and geometries, which allow for enhanced tolerance to fabrication uncertainties, are identified. These simulations apply equally to the fabrication of high-Q microcoil resonators with nanofibers suspended in air or embedded in low-refractive-index materials.