Can we take train from Vienna to Melk, rent bike there, bike to Krems, drop off bike there and take train back to Vienna?
I can't vouch for the bike hire, but the OBB web site tells me the train legs are totally possible and can even be done without a change they use REX Trains (regional express)
Check out Nextbike:
http://www.nextbike.at/index.php?id=1385&L=en&type=0
Or this one:
http://wachau-regiothek.at/?lang=en
Train schedules from Vienna to Melk and Krems to Vienna can be found here:
Thank you Emily and Debbie. I think we'll be able to make it happen.
I've done it, but long ago. surely it's still possible! We rented the bikes from the train station in Melk, I imagine there are more options these days.