OR - try and sling with your 'awkward' hand.
I've recently managed to do fig 8 with my left hand.
I am mostly ambidextrous. Some things I do left handed, some right, some - like woodturning- with whichever hand is best at the time.
But slinging I find extremely difficult left handed. However because of the sling free training method I use for fig 8 I've founf it's - for me - the easiest style to start with left handed.
So far the stones haven't gone far - but they've all gone forward
Plus I do whole body workouts about 5 times a week.