Having just been through that exercise, I"m confident that the slingshot will work just fine. Spent an entire morning trying the "twirl and let go" method and all I've got to show for it is a dent in the roof of my car. With a slingshot I got it first try.
But you're doing something horribly wrong. It's way, way, way, way, way, way too nice out today for antenna work. If you put up an antenna in this kind of wx you'll be lucky if it gets out at all AND it'll come down within a week. Simply because the wx is too good.
I'd say wait for the first day of sleet/freezing rain -- you know, one of those uncomfortably cold days when the wind cuts to the bone. Antennas erected in that kind of wx will have lots of gain (over an antenna put up in beautiful wx) AND will last forever and ever. Your great great grandkids, at least, will still be using it!
This is a fundamental law of physics:
"The goodness of a wire antenna is inversely proportional to he square of the niceness of the wx!"