Since you've mentioned you don't want to even pay for a debit card, the best suggestion would be Bank of Baroda's BOB Lite Savings account.
The debit card issued with it—a RuPay Platinum one—is completely free of cost as long as you maintain a quarterly average balance of at least ₹3,000 (Urban). No issuance and annual charges would be levied as long as you're maintaining the aforementioned criteria. If you don't fulfil this criteria, they'll levy ₹354 (inc. GST) as issuance and annual charges each.
Just ensure that you check on the option of Debit Card when you're applying for it online, and you'll get your physical debit card within a week or two inside the Welcome Kit along with chequebook.
They levy charges on only SMS and outbound IMPS transactions. SMS alerts can be turned off from their app easily (You'll get mandatory alerts even if it's turned off).
But, please note that if you have ever created any account with them before, you can't open this account scheme.
Their service and tech isn't so great, but it would surely fulfil your criteria.
Other alternatives:
1. Kotak 811 is another good alternative if you don't want a physical debit card (They provide a virtual one by default), but their customer service sucks.
2. HDFC Savings Max account (Product Code 193) would be another great alternative if you can keep at least a single FD or multiple FDs amounting to a minimum of ₹1.5L. If you do so, it would essentially become a zero balance account. Otherwise, you'd have to maintain a monthly average balance of ₹25,000.
But, bonus: as you desire, you get a physical LTF Visa Platinum Debit Card, which fetches you 1% cashback for most payments!
Only outbound IMPS transactions are chargeable with this HDFC account variant.
I personally use this account and my experience has been really great though.
Hope I was able to help you.