I hate spider mites with passion. The are very hard to get rid of in the high heat and low humidity area i grow in. To save you time, money, and many days of fustration here you go.
Buy an air conditioner or three. Get your temps down into the 70's.
Buy a humidifier or three. Get your grow room above 50%.
Ladybugs are a joke if you have an infestion. ie webs. Don't waste your money and time cleaning them up after they all die in 24 hours.
Neem oils (all types)and miticids will beat them down a little but they will come back. Ususally stronger than ever where you don't want them in your flower room. I still recommend using oils periodically for shine and leaf protection in your veg. room in case some how you carried one in on your clothes by accident. Will not get rid of an infestion.
Pyrithium bombs like neem only beat them back some - they will come back.
Have not tried preditor mites. No comment.
What works on infestion.
Floramite expensive but works- use in veg. spray everything leaves above and under, pots, floor, walls, etc. Kills them dead and eggs.
Hot Shot No Pest Strips- cheap can buy at Lowe's - will work if you have a sealed grow area. Takes up to 10 days to kill mites and hatching eggs, but will work. I wouldn't use late in flower though. Don't like the idea of chemicals in those nice buds.
Avid expensive - Haven't used, but have a bottle in case of another infestion. Don't want to use floamite back to back and create a supermite resistant to everything.
Mite free from the Desert Grower.