Then the second suggestion should work.
Remember there is:
Hardware flow control (CTS/RTS)
Hardware flow control (DTR/DSR) - not the way it should be done
And messed up versions of the two.
Software flow control
and
Hardware flow control that causes a software flow control to occur (^S/^Q)
In order to see the control characters, you need a "terminal" that has a "show all mode"
Some systems use resume on ^Q only, others resume on any character
Modems can implement all the required signals: DTR/DSR, CTS/RTS, TX/RX, Gnd, Protective ground and RI correctly and allow the full range of signal input -25 to -3 to +3 to +25.
The original standard was not followed by many manufacturers. Some only use +-5 volt signals and these can be very troublesome. Check out bb-elec.com for many options. Something like this can prove very useful at times.
232 Repeaters