From Carlisle train to Haymarket(Edinburgh) then train to Inverness. 5hrs 09min £62. From Carlisle, Apple Tree bus to Edinburgh, Bus Station (Stances 11 & 12) then bus to Inverness, Bus Station. 7hrs 32min £62. From Carlisle drive to Inverness. 4hrs 21min £52. From Carlisle train to Manchester airport, fly to Inverness airport, then bus to Inverness. 6hrs 50min £129.