Couldnt find any good screws in my house to fit the original model, so i figured i would just combine a threaded rod onto the existing model! (Thanks for including the Tinkercad link to your model). In that spirit, here is the link to my modified Tinkercad as well, so you can make adjustments to the threads however you see fit! You can adjust the diameter, pitch, length, etc.
The author remixed this model.