In my MBP's Settings > Displays > Display, I see a setting for 'Resolution: Default for Display / Scaled'. I set it to 'More space', then try the various simulators, all of which seem to fit on the enlarged screen at 100%. I suspect that wouldn't work with your FullHD screen though...
An alternative might be to try to install some sort of VNC server solution on the simulator, like https://github.com/wingify/vnc, and record that with a VNC recorder - I believe there's a Python VNC recorder out there.