Have you ever done a no-coin run? I managed to do it on levels 2, 3, 5 and 8. Level 1 has a section with 3 unavoidable coins at the second section. I tryed to jump over them but it's impossible. The first section is also pretty hard, but with good timing, you can do it. Level 2 can be done if you go for the 2-3, but not through the regular path due to the huge slide on the last section. Level 3 I can't remember if there is any mandatory coins, but I'm pretty sure there are none. Level 4 has 8 coins at the beggining that are impossible to dodge (you can dodge some, but not all), and later on section 1 there is a coin before a stair that's also pretty much unavoidable. Besides, I'm pretty sure the level is possible, tho I could be forgetting something. Level 5 is easy, just can't do 5-1, but I'm pretty sure 5-2 and 5-3 are doable. Level 6 is possible, but really hard. At the first section, there is 6 pickles rolling arround 6 coins. They can all be dodged, but it's really hard and I haven't done it. After that, you can take the path for 6-2, and complete it, or go for the regular 6-1 wich is harder. Level 7 has a Bacon blocking the path at the middle of the second section. I have never been able to pass it without collecting coins on the way to kill it. Level 8: from what I remember it, it's hard and you can only do it with 8-3 (maybe 8-2) for the same reason as level 2. I have no idea for Level X lol
I have helped with no coins routing a long time ago so I have forgotten everything... I recommend you join the papa Louie speedrunning discord and ask your queries to others who may have the time and know the answers, unfortunately I don't have time to research and give a reply (hence my upload schedule)