So what's your preference?
Option A: Fly in on a weekday to CLE in the morning (e.g. LGA-CLE, 8:30am-10:15am), have up to 10 hours at CP, have a BBQ at night, fly back early the next morning (e.g. LGA-CLE, 5:40am-7:10am).
Option B: Fly in on a Sunday to CLE in the afternoon (e.g. LGA-CLE, 12:00pm-1:45pm), have up to 6.5 hours at CP, have a BBQ at night, fly back early Monday morning.
Option C: Fly in Friday morning to CLE (e.g. LGA-CLE, 8:30am-10:15am) and have a shabbaton staying by people in he local community (there are no hotels within walking distance), have up to 12 hours at CP on Sunday, fly back early Monday morning.
Option D: Fly in Friday morning to CLE/CMH/DTW (e.g. LGA-CLE, 8:30am-10:15am, LGA-CMH, 8:15am-10:10am, LGA-DTW, 6:05am-8:00am) and have a shabbaton staying in any random hotel/cabin/rental house, have up to 12 hours at CP on Sunday, fly back from CLE early Monday morning.