The AoSept or ClearCare Hydrogen Peroxide based cleaning and sterilising is the 'gold' standard - and definitely the bets one for Scleral lens wearers.
Hopefully your doctor also introduced you to Menicon Progent - this is the heavy duty cleaner and disinfection solutions and is to be used once a month (or every two weeks or so if needed)... comes as two solutions in a vial labelled A and B - put them in the case a shown in below link for MAX 30 minutes... and no longer. Then rinse several times with saline in that case (and I then usually leave them overnight in the Clearcare solution).
It puzzles me why Preservative free saline is so hard to find in the US... in Thailand it's even in every 7-11 in 100ml bottles... I get the 200ml bottles which are a good size and last a week.