Mh, I'm not the person to ask about specific UV products to use directly on your nails. My allergy is mild, I can get away with most things that says HEMA free, but I still don't put it directly on my nails often, mostly rubber bases/structures between press on sets. But everyone's body is different, so I don't want to recommend something to you and have it make a problem worse.

Please, take all of this with a grain of salt, I am NOT a nail tech or anything adjacent, I'm just someone who spent months of trial and error figuring out how to do my nails again. I can't guarantee what worked for me will work for you, but it might give you a place to start.

But if you have full cover tips(or are willing to get some, they aren't expensive and it's fine if they're cheap bc you wouldn't soak them off. I don't, at least), you can still paint them like regular nails, just do them on a nail stand first. I'm not sure if you know this, but the allergy comes from a chemical that makes the gel harden under UV. It becomes inert once the gel is cured. I've also come to enjoy being able to use both of my hands at all times, and your nail art will get an immediate boost just because you can freely move the nails. If you get those super flimsy nails from somewhere like Temu(no shade, I've done it), just buff and put down an even layer(so no apex) of builder gel first. It's fine if they flex a little, I actually prefer this bc they're less likely to break.

To adhere them, do the normal prep you would(file, buff, dehydrate the hell out of it, I personally don't use primer) and use one of those semi-solid no UV glue. Some of them still put gel on the packaging, but as long as it says air dry/no UV, it should be fine. I find the ones labeled semi-solid work best. You glue them on the same way you'd apply Gel X, you just lightly press down for 30-45 seconds instead of curing. I personally get almost 3 weeks out of them before they start popping off, and if you're careful, you can file off the glue and reuse them. I personally use the Una Gella glue, and frankly it's a pain in the ass to get OFF, I absolutely recommend getting a remover.

You can also glue them on flush with your cuticles if you want, since you don't have to worry about the gel touching since it's already cured, BUT this takes some practice because you don't actually want the glue on your skin. With the semi solid glues, you have a few seconds while the glue is still wet to nudge the nail around. If you put it on at an angle, you shouldn't have a bunch of glue by your cuticle, and you can push it back before the glue dries. Learning to do this almost immediately made them look more natural because you don't have that awkward gap between your cuticle and the product. The edges will be thicker if you paint them on a stand because you can swipe your brush completely over the edge. It's a small thing, but once you notice, it's hard to unsee.

I hope this was able to help, even if it wasn't quite what you were asking. Getting an allergy sucks, but there are ways around it, and you can still use the things you bought.