I haven't seen much discussion of snake's peach match up, and being a crappy low level snake, I am now going to try to illucidate the snake/peach matchup with my incredibly dumb brain that lacks proper knowledge of the match up. One of my main training partners who doesn't compete in tourneys, nor does he know much special stuff about peach causes problems for me in general when I'm snake. But sometimes snake feels like he has a good advantage against Peach. I want to call it 60-40 in snake's favor. That's because snake relies on long stringy combos, which peach is too light for him to get the milage out of his combos that he gets on other characters of mid to high weight. When I'm off the stage and peach is edge guarding me it can be a really bad situation for snake because my cypher doesn't have enough priority to get through peach's down smash. So I basically have to use c4 to blow myself up, but even then, if I don't somehow get above peach and safely land on the stage (which is a big if) I'm somewhat boned. Thats because yeah, I can blow myself up a million times, but peach can much more easily spam downsmash forever.
That being said, Yes, Peach is hard to combo, yes peach can float over my mines (and if the player is keeping track of what I'm doing they won't just float into, say, a downsmash proximity mine set on one of the fall-through platforms on battlefield), but in essence, Peach has a 70% chance of killing me outright if I've lost nuetral and I'm trying to get back to the stage. When she's not ready to spam downsmash, all she has to do to catch my high recovery is short-hop fair to slap me back into the same situation I was just in. If the peach is actually worth their salt they'll just pull a stitch and z-drop it onto me on the way up or something and I'm dead. BUT when snake has peach stuck and he's won the neutral and pushed her basically anywhere near the top of any stage (even dreamland to some extent) then she's either dead or about to die. Like yeah, she's hard to combo in the air, but if snake is smart about it with his downthrow psuedo techchase peach can easily be destroyed. A good example of snake being bad for peach at even mid percent is that according to Cicyphis's downthrow tech-chase guide on snake, peach dies to up-throw C4 (when she's been stuck) at roughly 89% when DI'd properly.
https://docs.google.com/spreadsheet...xOka4oxmmMRbKhfGJ9c/edit?pli=1#gid=2084692387
Point being, I'm not a great or super knowledgable snake player, but I've had peach problems, and peaches I've played have had snake problems, but it seems that in a game that's primarily about winning neutral then converting that into a kill, it seems like the volley of projectiles snake can constantly unleash to keep peach at a distance is quiet effective. If you're playing peach, grab snake, that should ruin his day (again, I'm not super-knowledgable, so if any other snake or peach players disagree with anything i've said here, please mention my name and quote me where I'm wrong, because I'd be interested to know what you have to say).