I’m sorry for the loss of your mother. Some suggestions:
[name_m]Bartholomew[/name_m]
[name_m]Barnaby[/name_m]
Benaiah/Benaya
[name_m]Basil[/name_m]
[name_m]Blaise[/name_m]
[name_m]Bernard[/name_m] (strong, brave as a bear)
[name_m]Orson[/name_m] (bear cub)
I don’t know if [name_m]Barrett[/name_m] is too close to the names you didn’t want but it has the similarities to [name_f]Barbara[/name_f] and means “bear strength” so it feels like it would be a good pick going off that.