According to https://help.gnome.org/users/gnome-help/stable/shell-keyboard-shortcuts.html.en you should be able to use Shift + Super + Page Up/Down to move application windows between workspaces, seems to work for me.
So for your example start Terminal, then maximize it (Super + Up Key), then move the application window to another workspace (Shift + Super + Page Up/Down).
Perhaps just uninstalling Nouveau and falling back to the Intel driver, if it’s already installed, is sufficient? Or if that doesn’t work, worst case OP could blacklist Nouveau and and update initramfs? I’m just guessing as long as the Nvidia driver is never actually active perhaps that’s enough to avoid excess power consumption.
OTOH there isn’t much harm in OP keeping Nouveau enabled and seeing how things go though I’m in agreement with you, on an older laptop there’s not much advantage to be gained with the older Nvidia hardware.
Xrdp works on Wayland, you can keep using it if you like. There’s also Gnome’s built-in Gnome Remote Desktop as well as KDE’s Krdp, both are also Wayland compatible (though I get the feeling Krdp is still in its early stages).