Nice board mate!

Yes, they were quite fast in their day and still would be. Well worth a shot. That mast track position should be fine with most modern slalom sails.
I still have a 9' Speed Slalom in my Museum. It's in excellent nick. I should get it out again for some nostelgic fun.

Mate had the 8'8" version which was definitely faster in stronger winds for us small guys and would still be competitive IMHO. I used the 9' more as a light wind slalom board.
The biggest difference between this and most modern boards is the long nose sticking out in front of the mast track, but that should not make much, if any difference on flattish water.
I dont see any reason you could not get mid to high 30's out of it at your size on a good speed strip, maybe even more. The fin will be important to tune to your sail size, local conditions, etc. But it is Tuttle so lots of choices abound.