you can use TPU’s provided by Colab Pro - they run for a sizeable amount of time if you prod every few hours or so and store checkpoints.
The most problematic aspect would be the model size - so you would have to implement model parallelism to trade-off for training time in order to achieve good accuracy.
If you want good accuracy + almost free compute, then check out TFRC (TPU Research Cloud 15) they give a shit-ton of free TPU hours all for filling up a google form (and since you are students, it would be even more easier for you). The only catch is that you have to attach a credit card though you wont have to pay anything.
Have a fantastic day!