IL doesn't have what Id call 'high fence'. I've never seen a fence in hunting areas that any able bodied deer couldn't easily cross.

IF you're looking to go with a guide, you'd better hurry up, as any openings right now are probably going to be filling up quickly.

The IDNR website has listings/maps for all available public hunting areas.

As far as a private land owner just granting you permission over the phone: Good frickin' luck.

A good option would be to have your niece and nephew maybe ask around their area on your behalf.