Alaska Registration and IRP

I'm in little confusion and don't really know what to do now.
I'm Alaskan resident and working in lower 48 as truck driver. I've got my own truck now and about to register it, however I'll need to do it in my home state. Alaska is an exception from IRP and I won't be able to get apportioned plates there. I could register it under company that I working for (based in Illinois) but I don't want to be attached to someone and want to own my truck myself what I paid for. What options do I have in this case? I could change my residency but I don't really live anywhere in lower 48 and my home is in Alaska and planning to go back there often.

 

Well, I paid for the truck already and about to transfer titles to my name and get registration for it. Can I get tittle of Alaska and registration of IL (under company)?

 

Alaska can run 2 plates. Seems like vehicle can be titled in one state (in Alaska in my case) and registered in other state. Will try to do it in this way. Thanks a lot.