Many elves seem to have had magic abilities, even those who didn't have a maia as mother. Finrod disguised himself and his company as orcs, Galadriel captured light in a bottle etc. So Luthien's magic talents don't have to come from Melian.
Melian did take a physical form, but is it stated somewhere that it was an elvish body (can't remember, and I haven't got Silm here)? Remember, the Valar took physical forms as well, and maybe that's what Melian did. If so, her descendants have maia-blood in them. I did a calculation once, and found out that Arwen has 1/16 maia-blood. I posted it somewhere in the ME Mirth forum, if you're interested.
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