The above link includes an international contact. That direct contact should provide at minimum whether they can supply a band and/or what would be necessary.
However, you may be able to use a Nato band on the watch as an alternative. www.clockworksynergy.com
Lastly, you might take it to a watch repair shop, have them exactly measure the band (the broken one) and see what they might supply.
Answers & Comments
Https://www.bushnellgolf.com/contact/
The above link includes an international contact. That direct contact should provide at minimum whether they can supply a band and/or what would be necessary.
However, you may be able to use a Nato band on the watch as an alternative. www.clockworksynergy.com
Lastly, you might take it to a watch repair shop, have them exactly measure the band (the broken one) and see what they might supply.