Oh man, I wasn't aware - how does your supervisor or professors and post docs in AI department use large models? Maybe they can share a bit of their compute with you?

I am not aware of any free server space with enough GPU/RAM sadly

Alternatively, is it maybe an option to use a smaller version of the model. Maybe there is a model with trimmed weights?

You could try to ask your University if they have a computer cluster/server for these things or alternatively ask if they would reimburse the cost for colab resources