What about Clematis tangutica? It is a perennial not an annual, and will not grow as rampantly the first year while it gets its feet set. (It will still grow decently the first year, as long as you buy a reasonable size healthy plant and plant it properly -- clematis like their roots COOL, which can be achieved by covering the sunny side of the earth they're planted in with a very large rock or 2' square paver slab). After that, whoa stand back... but it will not go bonkers like some things will (hops, trumpet creeper, climbing hydrangea etc). Pretty little yellow flowers most of the summer, followed by neat puffy seedpods that last all winter. You can keep it pruned back if it gets too large. Not as far as I know toxic.
Pat