You can create Groups to message from Tearsheets in Bullhorn:
The default setting in Bullhorn for their Tearsheets is to display the Primary Phone only but you can make adjustments to this.
1) Start by visiting in Bullhorn "Tools" then click "View Layout"
2) Select the field you wish to edit (for Candidates select Candidates)
3) Select the List
4) Add or remove the columns you need