Is the 38k from Drexel all merit aid or does it include need-based aid? Yes you can try and do a cost analysis to see if Pitt will match your bottom line with Drexel.
Drexel’s tuition and r&b is over $60,000 so you would still have $20,000 to pay. Pitt’s OOS cost is $40k? With your scholarship of 10k that would leave 30k. You might qualify for need-based aid there too. Did you submit your FAFSA yet? Is the aid from Drexel an estimate or based on FAFSA?