Address verification - do they check?

Need help deciding which state ID to get. I live in New Jersey and will mainly use it locally, but I'm not sure if I should get my actual state or choose a different one.

Context:
• College student living in New Jersey
• Will use primarily at local convenience stores, liquor stores, maybe bars
• Not planning anything high-risk
• Want something that won't raise suspicion

My dilemma:

Option 1: Get New Jersey (my actual state)
Pros: Logical to have local ID, won't be questioned
Cons: Local bouncers/cashiers see real New Jersey IDs every day - might scrutinize more closely?

Option 2: Get a different state
Pros: Less familiar = potentially less scrutiny, common for college students
Cons: Might seem odd why I have out-of-state ID

Questions for experienced users:
1. Which approach generally works better?
2. Are certain states known to work better universally?
3. Does it matter that much or am I overthinking?
4. Has anyone successfully used out-of-state ID in their home state?

I want to make the smart choice here. Any advice would be really appreciated!