The college/university that has accepted you knows that you were enrolled this final semester because that was listed in your application. Stop looking for a work around.
Whether you are at college/university #2 for two years or three years or four years will depend on how your credits transferred. Federal financial aid limits are not set at four years. Pell money is available for a certain number of total semesters, and federal loans are set at a certain total amount. Institutional aid generally will be extended until you complete your degree provided there is a good reason why it took you that amount of time to finish.
So have a meeting with the financial aid office, and find out what their policies are.