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When I am in IL can I just put my gun in open view or will I need to do something else? Or do I just need to detour around IL?
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DO NOT put your firearm in open view. No open carry is allowed in Illinois, and an openly displayed firearm could easily get you negative attention.
With your home state carry permit, you can carry a loaded handgun (handguns only) concealed inside your vehicle while in Illinois, on your person or inside the vehicle. If you exit the vehicle the loaded firearm has to stay inside, or else be unloaded and enclosed in a case or container of some kind if you take it with you. Illinois does not have a duty to notify, but does have a duty to answer truthfully if asked at a traffic stop. Carry has been trouble-free since the law changed in 2013.
The travel route goes through scenic hilly country at the southern part of the state, and into farm country especially once you get on I-64. All relatively rural with only a couple of towns of any size, until you get to the metro area east of St Louis. Once past Fairview Heights, I would strongly advise continuing your journey through to Missouri. I think there is some bridge construction in St Louis right now, maybe someone more local can advise as to the current situation with the bridges. Taking I-255 south to bypass East St Louis and St Louis itself is an easier option, so that you don't have to deal with the somewhat confusing situation with the downtown bridges.