I can't comment on the train handling since Noel did the actual handling of the throttle (and brakes) on such, but I can post what was listed in the Time Table.
Fremont to S.S. 3, Bungay: 40 mph
S.S. 3, Bungay to S.S. 14, Pelham Bay (No. 5 and No. 6 tracks): 45 mph
S.S. 14, Pelham Bay to S.S. 22, New Rochelle Jct.: 45 mph
Additional Speed Restrictions:
FREMONT - Fremont to a point 0.50 mile east: 30 mph
S.S. 3 - Curve 0.71 mile west to 0.68 mile west: 30 mph
NEW ROCHELLE JCT. - To or from the Harlem River Branch, S.S. 22 to 0.13 mile west: 20 mph
Rule 1816. "Eastward freight trains approaching S.S. 3 must stop with the engine between double arm approach signal No. 7.36 and a point 800 feet west thereof and must know that air brake system is fully recharged before proceeding." In other words, they had to do a brake test before proceeding down the grade to S.S. 3.
All freights using No. 5 and No. 6 tracks between S.S. 4, Oak Point and S.S. 14, Pelham Bay received a Medium Clear signal at the interlocking plant west of the drawbridge, meaning they had a 30 mph speed limit going through the interlocking.