Would the key to how you would approach playing this swing not be found in the intent of your innings? Are you forced to score runs due to a limited over format or are you just looking to survive?
Once you have sorted that out for yourself you can then decide how to approach playing the swing.
Should you be looking to score runs, you cannot just leave all the balls and let the bowler bowl his settled line and length and clock up maiden after maiden. Your main issue here would be that you are struggling to get bat on ball due to it moving further away from you. A simple change to your guard would help to bring you more in line with off stump and closer to the ball. Moving from middle and leg to middle and off might be easiest to start with etc.
for a ball to swing, the bowler has to bowl it relatively full to be effective and to get most movement. You are therefore at risk of getting out either defending or attacking outside offstump of the front foot. ( if he has a good bouncer he could also catch you front dogging but most club bowlers aren't quick enough to do that. ) Chances are that he would be bowling a full ball that could be driven in most overs. Just a keep in mind that you cannot try and hit the swinging half volley outside off through extra cover any longer, you will need to adjust with your shoulder and hit these squarer, the wider it is bowled.
Identify scoring areas based on the length of the ball and remember that a swinging half volley is still a bad ball and as with any good balls, you can either leave or get a single. Defending with a straight bat, down the line of the wicket so ball hits the outside half of the bat can often lead singles behind point and down to 3rd man. Never defend outside off with a bat angled towards cover etc, this is asking for an edge.