Well, we have an Ovation here that has a lovely sound (I belongs to James, but I dubbed her "Pretty Baby") but that rounded back is more slippery than a greased ferret! :`)
I semi-solved the problem by using a 12'x12' sheet of that spongy stuff that has square holes in it, used to keep rugs, etc., from slipping. (I also cut a small piece of it to aid in the opening of things like stuck jar lids)
My favourite guitar is a medium -sized classical (nylon string) with a thin neck and a very mellow sound. I have little experience playing acoustic guitar with a group, so I don't know how she would fare that way...
Sometimes I wish her body was a wee bit smaller, but she suits me fine.
~ Jande