Piano and harp ?
If you really mean "stringed" instruments as opposed to "string" instruments in an orchestral setting, then a piano and a harp qualify as non-bowed stringed instruments.
Otherwise a classical guitar, and a lute (such as played in a Vivaldi Lute Concerto in a baroque orchestra), I suppose could be a non-bowed string instrument.
Actually, I sang for ten seasons with the Chicago Symphony Orchestra's Chorus, during the Solti and Giulini years.
Alex...is that you?
Flute and Clarinet?
LOL...I thought it said unbowed, non stringed instruments...!!! I am tired and I have the flu...sorry :/
Yeah, I got that. See above. Sorry. :/