You assert Dracula will not be able to control himself, but he held Harker for weeks without drinking his blood. Dracula has enough self-control. He is not some thirst crazed new vampire, and if Dracula has set his mind to something, he will achieve it. He manages to get himself to England and causing problems for Lucy and Mina simply from Harker's description and he decided to do it.
Further, Dracula set about some of his preying in London, a bustling metropolis.
Ok, the crew gets through 1/3 of the Count's job at best.