As an Integromat parter, we have a special sign up link. Use it and you'll get 1 month free of their Basic plan (10,000 tasks). After that's done you can continue to pay ($9/month), or downgrade to their free plan.
If you're looking to get Integromat for cheaper (and keep in mind it's already pretty cheap), here are you limited options:
No it doesn't, nor is there even the option to pay yearly.
No, there isn't.