Thanks for sharing the clip via Google Drive. The forum's attachment limit seems to be around 100MB so your clip was just a little too big.
The clip is jumpy when it's slowed down because each frame is basically a unique photo and PD doesn't have the ability to blend them together seamlessly - it just plays them back to back like a regular video.
I think there are apps out there that can interpolate the "missing" content between frames, but I don't have any experience using them or know how much they might cost.
The best thing I can think of using PD is to actually produce the original clip to a series of images, then import them all and apply a fade cross transtion to all clips. You'll need to experiment with frame length and transition duration, and I made two samples to show the difference.
According to MediaInfo, your original 15 sec clip actually covers 2m 18s of real time, and by setting each frame to be 0.08 sec long, the new version lasts 2:05. If I set the transition duration to 0:02, the stop-motion is still notable but the changes are softer. If I set the transition duration to 0:04, it's a little more dreamy but that may work better for some sections.
I'll write up the steps in the next post, but the packed project and both sample clips are available in this OneDrive
folder. You can open up the project and start experimenting while I document everything I did to create it.