Case - Cooler Master Elite 301 Lite could be one option - ~3.3k on amazon -
https://www.amazon.in/Cooler-Master-Elite-Lite-Computer/dp/B0D6FFRJLC?th=1
- Assuming you have an m-ATX motherboard, bigger boards would not fit in this.
This case only has 1 fan preinstalled though, so eventually good to add another 1-2, if thermals are still bad.
Coolerwise - if it was me, I would decide after changing the case. Since CPU is a bit old, so might not be worth getting a new one specifically for this, since soon you might ending up upgrading and cooler might end up being incompatible depending on the future upgrade.