I think they have grills near the quiet pool
Yes, most resorts have a nice grilling area (SSR, AKV (by kidani) and Poly even has gas grills.) I have never used them, but assume there is a trick to getting it set up, particularly if there was someone there earlier who used it and it needs to be cleaned out/off.
For in-room cooking, the rule of thumb I was told by the front desk years back: There's a toaster, microwave, coffee maker and small fridge provided. IF you choose to add an additional cooking appliance, make sure it is always attended (crock pots are frowned upon as too many people leave them alone), cools down fast, is used in the kitchenette area only. I think it's common sense not to use anything with a flame.
I take this to mean a small george forman grill would be fine. Also acceptable are small hot plates (such as for pancakes or waffles.) I've been making pancakes for breakfast for years on a small 14x14 rival hot plate. This is the first summer I'm considering leaving it at home as last year everyone preferred cereal and bagles. I think we might try the grill, if it's not rusted for steak tips and corn on the cob (for now, VWL only has one, and it looks pretty run down).
Take note, before anyone goes there...
DVC does not and has never permitted grilling on the balconies. If you do bring anything, be very,
very aware of the appliance as the kitchenette is a tiny counter space and kids (or adults) can get hooked on a cord and pull everything down, causing burns. I never step away until it is unplugged, cooled, washed and put away. (Yeah, that said, I'm not bringing it this year. It's my vacation.

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