Any civ with lousy siege will have some difficulty just mowing down HHA. As recommended before, wall in first, If your economy is humming and safe the EA route as suggested is ok or get ballista towers and creep towards the enemy, gobbling up territory. This tactic works pretty well with egypt and babs especially when towering is supported by priests and a decent mixed army. Without good seige or fast iron age units, gobble up territory where you can and make HHA fight you without the ability to run or utilize hills etc.
Wait a second, this strategy works well with any civ