Hell is another dimension too and Beatrice's BFR is no different. She can just use spider devil to create a portal back, simple as that and she doesn't need anyone to make contract, where did you get that from?
A verbal command is required if the ability is stated so, Makima only say that once so you cannot make entire assumption about it.
Makima control entire team of Devils and bunch of people then she attempt to control Power. Let me ask you a question: "What evidence did you give for Beatrice to start with time manip, mind manip, or BFR? If it her in-character move set or did you just choose one and assume that she would use it despite her personality say otherwise?"
SBA stated that the state of mind is in character. I give many examples of Makima using Control due to her personality, including the time where she didn't because plot device. You ask for scans and the profile give explanation, what's there to ask?