I went through this two years ago with our 298re. The hood vent over the cooktop only made noise, no outside exit!
Fortunately the non-motorized roof vent is located in the same bay as the hood vent/microwave. I eliminated the stove-top hood vent and installed another LED light over the stove. The microwave is super easy to remove. From there, 12V is accessible and easy to run wire to feed motorized roof vent.
I found a roof vent that installed without having to touch or access the roof. I didn't spend a lot on it, but it has 3 speeds, forward and reverse. Only drawback is that it's not super quiet, but it does a decent job moving air.
Although we do most of our cooking outside, this was a very worthwhile install. Now I wish we could have one in the bedroom, I just don't think there's room in the roof for it.
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