Hi Adam. How familiar are you with Tobago or the country in general? Have you lived here before? (no vacationing). I ask because I'm also a foreigner but living in Trinidad at the moment. Why are you moving from the US to here? I know it may sound tempting specially Tobago because of the beaches and Speyside because of the diving but I would not recommend living in far away areas anywhere in Trinidad or Tobago, particularly when you're coming with your kids. You would be taking a big risk.
Speyside is just a fishing village and you will definetely stand out as well as your kids (of course, assuming you're "white"). What I'm concerned about is the brutal crimes that have been taken place in Tobago (towards foreigners) lately with no apparent motive. Also you have to think in job opportunities as well as schooling for your kids (definetely the schools will look and be quite primitive to whatever school you're sending your kids in the US). Let's not even start with public health facilities.
If you put yourself to live in a desolated area, you're putting yourself (and kids) even more at risk in my opinion. Please think very well what you're going to do.
I don't believe the police station will be of any help, specially because a lot of times police officers are involved in crime related activities as well, so please be very careful what kind of information you will be providing to a voice on a telephone.
The police station for Speyside is Charlottetown Police Station 660-4385. Not sure how updated that phone number is.
Here is also a couple of links related to the crime in Tobago:
Whatever you decide to do, I wish you all the best.