Honestly, there's no way Chris will stay in 14 Branchland post-Barb.
He doesn't want to keep living there and even if he did, he can't afford it solely because of all the debt Barb accumulated in building her hoard and then pawning it off to Chris so she can keep buying useless junk for her hoard until she dies and let her incompetent son suffer the consequences.
Bob had the house fully paid off, and as soon as he was gone and Barb blew most of his inheritance on the Snyder trial (an incident she was largely responsible for), she took out a second mortgage on the house.
Barring some extreme incident such as another Idea Guy type of scenario, Chris probably won't end up in a mental institution and probably won't end up incarcerated either (outside of perhaps a short-term stay in in the county jail for a misdemeanor offense) even with his current Dimensional Merge fantasies.
I was going to mention Section 8 as Chris would definitely qualify for it, but as someone else pointed out, there is a waiting list and I honestly forgot about that.
Before the Dimensional Merge and Idea Guy, I was actually sort of cautiously optimistic about Chris and assumed that once Barb died, some of his ass-patters in the local LGBT community would step in and try to get him a cheap place of his own such as a trailer in Greene County or maybe a cheapo apartment in the poorer areas of Charlottesville or another nearby city such as Lynchburg or Staunton.
Marvin has confirmed multiple times that Chris can and does pay bills and he has a few friends in the Charlottesville queer community. None of them would ever let him live with them, but in the event of a major crisis like Barb dying, it would not be too unreasonable for them to help him find a place of his own.
But as he retreats deeper into his CPU fantasies, I honestly don't know. At this point it is difficult to tell how much of it is genuine belief and how much of it is just wishful thinking and daydreaming to distract him from the misery of living in the hoard.
Barb's death is going to be what will make or break him. Either it will be the much-needed kick in the balls to wake him up to reality, or it will make him snap to a point of no return and he will retreat even further into delusion and it could honestly go either way at this point.
If he doesn't end up homeless after Barb dies, he'll probably get some shitty apartment or trailer in a poor area and do the absolute bare minimum to keep the lights on and spending the rest of his money on toys and vidya for the rest of his life.
An outcome like that would probably be the closest thing to a happy ending that this story can have. Unless another Idea Guy enters the picture and manages to ruin that too, and unlike the last time, Null has washed his hands of Chris and The Captain is currently MIA.
TL;DR-Once Barb dies, it's either going to be a "Homeless Saga" or a "Cheap Shitty Apartment" saga and right now we've got a 50/50 shot either way, barring another Idea Guy or similarly colossal fuck-up in Chris's life