This is sorta backwards but we got my band first and now I'm really trying to think of what I want to go with it. Is there any chance it can go with another 3 stone or a solitaire?
I'd probably just choose to wear the 3 stone on one hand, and get whatever you really want for an engagement ring, and wear it on the other hand
I think if you wear it with another 3 stone it will have the feel of stacked bands, which could be neat. The size of the stones in the ring you already have will make all but a very large center stone in a second ring look smaller, though.