Here in Seattle, my wife's coleus started slowly but in early August heat they took off and grew very quickly. A few are now in the 4-5' height range. One of my favorite plants.
I'd try to keep it alive, I keep several plants over from summer to summer in the basement under lights, Coleus, Croton, Geraniums, Basil (sometimes it lives), and others, use water from my fish tank to water them.
Joe, Coleus is easy to propagate. We take cuttings of branches that have patterns we like and put them in jars of water over the winter (indoors). They will set roots fairly quickly. The water diet works all through the winter months. The newbies go out in the garden in spring and seem to be happy. Your thumb is turning green!
I have planted my overflow of annual purchases in pots that sit outside during the warm weather, and are moved inside to a work area with overhead plant lights when the temp drops. Many "annual" plants survive for years, and as something falters I stick in another plant from my latest purchase. It is a changing venue with instant Spring foliage when moved back outside. Take time to get some pots you like and establish a good location for them to overwinter and they will provide continuous enjoyment (and potential photo subjects). Boris