Here's an interesting source about George's plans regarding going to Hanover:
http://www.historyhome.co.uk/people/george3.htm
"In February 1780 the king, who was watching the debates on Burke's economic reform bills with painful intensity, was annoyed at the smallness of the ministerial majority on the proposal to regulate the pension list, and, as usual, recommended ‘firmness’ to North. Dunning carried his famous resolution concerning the influence of the crown in April 1780; George attributed the rising discontent of the commons to ‘factious leaders and ruined men, who wish to overturn the constitution’. He allowed North to make some overtures to the Rockingham party in June, but objected to receive Fox or the Duke of Richmond on account of some personal displeasure. The overtures were abortive. It seems that the king felt keenly the humiliation which was gradually coming upon him;
for it is said that he seriously contemplated retiring to Hanover, and that liveries were ordered and other preparations made for his departure....
...He wished to put Rockingham at the
head of an administration partly formed by himself . On the 20th North persuaded him to acknowledge that his administration could not stand any longer, and Thurlow renewed the negotiation with Rockingham. But the king would not consent to a reform of the household, and sent for Shelburne on the 21st, after North's resignation had been announced. Shelburne was bound to Rockingham, and on the 22nd George sent for Lord Gower, who refused his offer. He was then advised by Shelburne to accept Rockingham, and was forced to again bow his head to the yoke. Nevertheless, he refused to see Rockingham personally until after the administration was formed, and by employing Shelburne as an intermediary sowed the seeds of discord among his new ministers. He delivered the seals to Rockingham on 27 March 1782.
When North's resignation was imminent, and during the crisis which followed, he again entertained the idea of retiring to Hanover. His humiliation was notorious, and the triumph of the whigs was caricatured in the ‘Captive Prince.’"