Why do you want conversion to a bis methoxy containing compound? Conversion to a sulfonic ester (e.g. a mesylate or a tosylate) would activate the hydroxyl to displacement, whilst a methoxy group would not.
Depending on what else is in your molecule, how about hitting it with 2 equivalents of NaH or similar, then adding your two equivalents of Me+; I'm not sure whether one molar equivalent of Me2SO4 would do the trick here, or whether you'd still need two...
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