From Bilbao bus to Logroño then bus to Estella. 3 h 25 min 33€. From Bilbo/Bilbao bus to Pamplona then bus to Estella. 3 h 46 min 29€. From Bilbao-Abando train to Logrono, walk to Logroño, then bus to Estella. 4 h 32 min 31€. From Bilbao drive to Estella-Lizarra. 1 h 40 min 16€.
No, there is no direct bus from Bilbao to Estella-Lizarra. However, there are services departing from Bilbao and arriving at Estella via Logroño. The journey, including transfers, takes approximately 3 h 25 min.