From Lafayette taxi to Lafayette, LA, bus to Pierce St @ Main St, line 088 bus to Houston Hobby Airport, TX, then bus to Galveston, TX. 8hrs 52min $112. From Lafayette drive to Galveston. 4hrs 00min $35. From Lafayette airport fly to Houston airport then bus to Galveston. 6hrs 05min $375. From Lafayette taxi to Lafayette, LA, bus to Baton Rouge, taxi to Baton Rouge airport, fly to Houston airport, then bus to Galveston. 8hrs 51min $446.