Unless you balloon it up there isn't going to be any way to get it there.
First you have the battery limits. Central Ohio is about 365 meters above sea level and space is approximately 100km above sea level. The multi-rotor would have to travel 99,635 meters. At an ascension rate of lets say 5 meters per second you would theoretically reach space in about 5.5 hours. No turbulence, straight up, and speed remained constant. Even the most efficient multi-rotors can only cruise for around an hour. Ascending takes a lot more power.
Next would be the fact that the props would become less and less effective as the multi-rotor climbs. There is less and less air that the multi-rotor can physically move to propel it upward. Very likely the multi-rotor would reach a point and even at full throttle not be able to climb anymore.
Multirotors can get up above the clouds but the trip up there will take most of it's battery. Here is an example of it and what can go wrong.