I planned to install a dpdt switch to connect/disconnect the screen grid to the plate, looked like the existing resistor values would work. Just wondering if ... it would create an issue biasing between the two modes.
Envision one pole of your switch. The center lug connects to the screen resistor, which then connects to the screen. One outer lug connects to the plate, the other outer lug connects to the screen power supply node. There are various clever versions of physically accomplishing those connections when you build the amp, which depend heavily on your choice of layout.
If your amp has a screen power supply voltage which is very similar to the plate power supply voltage (probably because you have a choke between those points in the power supply), then idle current will change little, if at all, when you switch.
If the screen voltage is very much lower than plate voltage in pentode mode (because you have a large resistor between those points in the power supply, or because you have a separate, lower-voltage screen supply), then idle current will rise when the screen is connected to the plate. The change is directly proportional to the difference in screen and plate voltages in pentode mode; if the screen voltage will rise significantly (like 50-100v or more) when switched into triode mode, expect to need additional negative bias to keep the plate current rise in check.