For example there could be your past self in your house which does exactly the same things and have the same debuffs/buffs that you did during your last "visit" there. Trying to interact with or attack your past self would rise your paradox by some ridiculous amount.
There could also be a "future self" hanging around. You can heal that one with healing touch or maybe some of the life or other talents could become targetable in the refuge. After healing/buffing your future self, the next time you visit the refuge, your past self will heal/buff you. Or if that is too overpowered, you could initiate conversation with your future self and offer one of two options: to take X of his/her paradox and add it to your own pool, or to give X paradox from your own pool to your future self. Then when visiting the refuge for the next time your past self will initiate conversation with you and depending on what you did during the last visit, take some of your paradox away or force some paradox onto you. Denying the "request" of your past self would again give you a ludicrous amount of paradox. But well, if getting 300 paradox from your past self is disadvantageous for the situoation you currently escaped from, you'll just have to pass it on to your future self again!
There could also be some passive monsters chilling out there. Specifically monsters that you banished from the timeline during your playthrough with time skip and the like or ones whose existence you destroyed with cease to exist. Maybe only memorable bosses/npc's and mayyyybe they could give you some slight buff if you talk to them, what type of buff depends on the boss/npc.
