Hi Adam,
The VT-71 doesn't have a Flyback but it does have a high voltage transformer and a 1B3 rectifier (under the metal box)
I don't know which chassis you have but I have a basic schematic for the TS4J chassis posted here:
http://www.vintagetvsets.com/schem/ts4j1.jpg
http://www.vintagetvsets.com/schem/ts4j2.jpg
Eric