Unfortunately you will not be able to keep the same machine address per-say. Depending on how you set up your infrastructure initially, hopefully you setup a Floating IP and pointed it to your initial Droplet. If you did, you can re-assign that to the new droplet be it a freshly created one or created from a snapshot. The machine(s) themselves will not keep the same IP.

https://www.digitalocean.com/docs/networking/floating-ips/