I am sorry to hear that you had a bad experience when you called Tri-C today. That is not the image we hope to put out there! Please consider putting your concerns in writing, to the attention of the Dean of Nursing.
I would say that it is unlikely that you could complete prerequisites in Fall 2010 and expect to begin a nursing program in Spring 2011 at any nursing program in Northeastern Ohio. By the time your Fall grades are posted, it would be close to Christmas and most programs have additional hurdles, such as an admission test, you'd have to complete prior to being put on a list for entering their program. Remember, "Spring 2011" really means January 2011 in a program that has semesters, which most Ohio programs use instead of quarters; the turnaround time is just too close. You certainly could start a program in Fall 2011, though.
You don't say what part of Cleveland you'll be living in, but Tri-C is opening a West Shore campus in Westlake, which means there will be an additional 48 spaces for students, starting in January 2011.