Let me first say, you guys are cracking me up over here.
Rather than Rin doing something, I think this is more an opening for Yukio to use his powers.
Hachiro: Now do the bees and the birds stuff.
Yukio: *Sets everything on fire.*
Hachiro: I had never seen the bees nor the birds do that.

Anyways, this situation for me is...so ridiculously interesting that I'll be sitting here trying to picture what the hell's going to happen until the chapter comes out. Wait, that's me on a daily basis anyways. Hehe.
If Yukio was older/Shura was younger, I would ship them 100%, not so much because of "compatibility" but more so because I just LOVE seeing them interact. I love love love it. Their dynamic is so interesting that as a ship, it would be like a million times more interesting. Ooh imagine all the complications.
But alas, because they are not so, I more low-key ship them, for the same reasons (I just love seeing them together, not a romancey kind of ship though). This makes the implications at the end of the recent chapter all the more fun. Ooh. I definitely can't imagine anything actually fully happening (oh God nor would I want to). The extent I see is that -- wow I don't even know how any of this works, so bear with me -- Yukio and Shura would get...close? But nothing would actually happen? You know? Like Lightning or back up comes in to knock out Hachirou/distract him so the hold breaks and both of them snap out of it and start moving or something. Just so it gets close enough it's like a jump scare to the audience (a "holy hell this is creepy my god WHAT THE HELL") and then BAM! Lightning/back up saves the day. Fight continues as per normal. Or something.
I also don't think Rin got EATEN by the snake. I'm pretty sure he's just chilling back there. As much as you can chill in the jaws of a demon snake.
On a side note, is it just me or are both Shura and Rin turned away/blocked from being able to see Hachirou and Yukio?