He did not struggle, he did not escape, for he knew one simple truth. Patience was a virtue. While the snow did pack around them, eventually their body heat would cause it to melt. They were in no imminent danger, and it was a waiting game.
Realizing this one key truth, he listened to Han tell him stories of the old days of the Force, and how he had chosen the wrong path, out of sheer anger.
He told Aleister of Gash Jiren, and Organa Solo, of his cousin Luke, and of many other stories of the galaxy, that he had chosen to remember. During this time, he also imparted unto Aleister a lesser known language, of Olys Correllisi, the language of Ancient Correllian, something that Han, ever the historian, had picked up through ancient texts, even though the language itself was dead now. Aleister had nothing but time, and as fast a learner as he was, he would easily have the basics down before the snow completely melted.
He smiled to himself as he could feel Master Dolash's eyes on him, wondering if the elder Jedi was simply waiting for him to fail, and to force his way out, and to not see the true test that lay within.