Hi Geraldine,
I am not a biker but I had an LD reconstruction, albeit an immediate one, nearly two years ago. My arm movement is near perfect, possibly becuase I did, and still do, the exercises regularly. I feel my affected arm is not as strong as it was, but it is hard to be sure what is down to the LD and what to the node removal etc. The thing I think you would need to be sure of is whether slight loss of strength might be a problem for you, and I can't answer that. That said there are women on here who have had LD recons who swim ,ride and lift stuff with no problems - maybe I'm just a wuss!
If the concern is merely about reach, then I'd say that based on my experience you will be fine.
Hop you get some more useful answers soon, and that all goes well whatever you decide.