Juicy BBQ chicken- without the grill!

I want to make BBQ chicken breasts, but I live in an apartment and don't have a grill.
Should I consider poaching the chicken then just basting them with BBQ sauce? I'm afraid if I bake the chix breasts they'll get too dry.
I don't want to overcook them!
Update: I have a weird aversion to chicken on a bone... so I want to use chicken breasts. Thanks!
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