For more context, I have been accepted to RPI and The University of Manchester (UK). UoM is higher ranking, does better research, and I would be getting a MPhys with Theoretical Physics. However, it would cost me ~$60k total while RPI would cost me ~$0 (payment has been worked out with my parents in a way that made these the total costs for each school).
I plan on going into a physics PhD program in the USA whether I attend RPI or UoM and thus I am wondering whether the prestige of UoM is worth the extra cost?
(I am still factoring the experiences of each school as well and not looking solely at cost and ranking but these two are the leading factors)