I think you have a non-problem.
In analog days, "continuity testers" were confined to checking cables & the like.
Looking for continuity in circuit, the Ohms range was used.
OK, it's a bit easier with an analog meter, as if the needle swoops down to the zero Ohms end of the scale, you can generally take it as read that there is a very low resistance connection.
My old Fluke 77 DMM auto ranges fast enough for me to look at normal circuit resistance values, as well as very low resistances like direct ground connections.
IMHO, the continuity "beep" is a crutch---- you should look at the display in Ohms range to get a real idea of how good the "continuity" is.
Many continuity tests beep "OK" at relatively high resistance values.
These might not matter in many cases, but in others, could be critical.
For instance, if the cathode of a tube was intended to be returned to chassis, the continuity tester may beep "OK" if there is a dry joint of around 30 Ohms.
This constitutes an unbypassed cathode resistor, which could mess with the bias, & definitely will cause degeneration.