The grill gets cranked up to high for 30 minutes after any parts get baked. No different than "burning in" a new grill. It's all just vapor that burns away. You're not melting paint, you're just warming it enough to flash off the volitiles and aneal the paint.
I've never had any residual odor (or taste) from doing it. But if you are at all concerned, by all means DON'T do it that way. I had the same reservations myself when I heard people were using their ovens to do the same thing. That's got to make the whole family real happy.
If you have one of those radiant space heaters you could use that.
Or call around and see how much it costs to get them powdercoated. It may be the best option in the end.