Alright to me it sounds like the yoyo that you are describing the most is probably the 888. It is has a slightly smaller diameter than most yoyos, yet a very wide gap. Also it is generally just an overall great yoyo.(especially with t stacks)
Ok, no offence- With z and t stacks they wobble and please read the whole thing before you type something- he already chose skyline
Sorry I did read the whole thing, but I guess I missed the most important one.

Oh yeah, and mine plays fine with the t stacks, no wobble in generall, unless I throw it really bad.