Since when did Maya and the MC not like each other? Whether he was rejected or chose to be just friends, they do like each other, and more than they're willing to admit on these paths. So it should be farily easy for them to pull this off and may be what brings them closer together for a possible solo path further down the line.
I also think this would matter to Josy because remember that she is the one in Ep 5 who is the most upset about them not being in a relationship with the MC and the one who seems more sure that she both likes the MC and wants him. So if she were to see Maya and the MC getting closer because they start spending more time with each other in order to "sell" the idea that he's Maya's boyfriend, we could see her get jealous of Maya but also of the MC.
Maya's Dad may not always be around, but the fact that he seems to just be showing up at random times to check up on Maya could be something that becomes part of the MC/M&J narrative because there might need to be an abundance of caution from this point on.
If this is going to be the case where they will be keeping up a ruse that Maya has a boyfriend, then the threat of her Dad showing up at any time might mean M&J may have to limit how much they're together as well as one of them, most likely Josy, having to move out of the dorm. This would put strain on the relationship because they can't just relax and be together, and we've seen before how willing Josy is to jump ship because things get too tough.
My point was precisely that Maya and the MC do like each other. Thus forcing them to spend intimate time together doesn't make for zany hijinks, it's business as usual.
As for Josy, she and Maya are going to spend time together, I don't see any way around that (well, see below). Maya's dad showing up has a been a risk this whole time, so I'm not sure why a more structured approach to deceiving him would be the deal breaker. As long as Maya and Josy meet somewhere other than Maya's room, the only way her dad is going to find out is if he is actively tracking Maya... in which case the game is up anyway when they attend class together. That's more than enough contact to keep them on the same page.
The only way I could see the fake boyfriend routine working
as a trope is if the trio are just friends (i.e. the situation where the ruse is least likely to work overall). In that case it might make sense if it sparked jealousy in Josy (and/or regrets about turning the MC down in Maya). But even in that case it still runs into the problem that Maya's dad just isn't a realistic day-to-day threat. Add in the fact that the crisis will feel trivial for those on the M&J path and I just don't see this happening.
DPC will sometimes force drama, but I think in this case there's far more drama to be had from facing the situation head on.
So perhaps this things with Maya's Dad could be part of something bigger, but I's much prefer if either a) her Dad in confronted when they get back, or b) he's not there when they get back because that tension of wondering when he might show up again would be very on par for DPC.
Maya's dad becoming part of a larger narrative doesn't exactly preclude those options, it just means the issue won't go away as soon as he's offscreen.
I'm not sure there's a realistic way to do that without revealing that he knows Maya has been seeing Josy again and is thus giving Maya a final chance with a host of new restrictions. That would pretty much ensure that the M&J drama would continue to dominate BaDIK for at least the rest of this season, possibly more. I can certainly see DPC doing that, but it would not be my first choice.