Very strict. Hopefully one of the Illini will jump in but from what I have read all firearms must go through an FFL. But I don’t live there and would not.
Good luck.
I recently read that the below are states and district that require shipping to an FFL. However, I believe that Illinois was a bit of a patchwork based on local governance.
You could go on gunbroker and get contact information for some Illinois FFL holders and maybe talk to FFLs in your state.