Interaction with 360 degree images

After a couple simple tests, Option #2 or 3 makes it fairly simple to do what you want. The 360 images are projected onto the interior of a sphere, where the viewer is at the center. Accessing the 3d scene (by hooking into the SL scene or by creating your own) lets you access and modify the texture (image) applied to the sphere. You can include additional 360 degree images (in whatever way is appropriate for you), create new/clone materials, and direct the texture source to the appropriate image. Then you can reassign the material with that texture to the sphere, switching the image. This way your scene changes instantly and does not have to reset or reposition.

Option #2 is a hassle but maintains all of the functionality SL offers. It would be nice if the 3d object was directly accessible, but I have yet to find an active reference to it.

For a suggestion to experiment, see this post:

Prevent vertical movement in 360º images | Articulate - Community

FYI-
In the example post, you would be most interested in:

window.viewer360.scene.children[0].material

and 

window.viewer360.scene.children[0].material.map.source.data.currentSrc

Use the browser developer panel (F12).