Get some single mode LC fiber and media converters with LC transceivers and you're good.
Get some Single Mode LC fiber and a couple of media converters with transceivers and you'll be golden.
I actually got some of these media converters along with the transceivers. Since you plan on getting the LC type duplex cable, you can take the bridge between the two LC connectors off and use only one strand for 1GBPS service. I tested mine and it worked fine.