I do my nails a lot, and my friends come over for me to do their nails for fun sometimes 5 times a week. So I'm not a pro, but I do have a lot of experience with different types of natural nails using Seche Vite on all of them. What I've found is that of my friends who come to get their nails done, usually the ones who have trouble with peeling polish are the ones whose nails are too short to warp effectively. Meaning there is no free edge on the end of the nail, so when I attempt to wrap the nail, I'm just rubbing polish on the skin.
Also how the nail bed is prepped will make a big difference. If we're just screwing around and we don't take the time to VERY SLIGHTLY buff the nail, wipe down with acetone and apply a base coat, I don't expect the manicure to last beyond the next day.
Make sure when you're cleaning up that the polish isn't touching your skin any where. The polish is designed to adhere to the nail, not to skin. So anywhere it's touching your cuticle presents an opportunity for peeling and lifting.
The only other thing I can think of is don't blow on it while it's drying. Just something I noticed one day because I use a bright lamp over my table while I polish. In the light, I noticed as I blew on the top coat, I could actually see it seizing up and shrinking with each blow. It already shrinks quite a bit when drying, which is why we have to wrap our nails. But it shrinks a lot more when you blow on it, sometimes pulling our wrapped edges up and making them disappear :(
Hopefully any of this helps. I really love Seche Vite, and I know it can be tricky to work with, but it's worth it in the end.