How do I deal with silverskin in a steak without trimming away all the fat?

Obviously it's impossible to remove the silverskin without also removing the fat. You should be cooking the steak on a screaming hot pan, but even that won't 'melt' it.

I'd suggest removing the silverskin and fat, then adding a large knob of butter to the pan near the end of cooking, basting over the steak liberally to add richness.

Ideally, you want the flavor of the fat, without having to eat a blob of fat or the silverskin.

Cooking your steak standing on its fat side to start off with. It will render some of the fat out and help flavor your pan that you're cooking it in. After that, cook the steak as normal and frankly...just don't eat the rest of the fat or the silver skin. You've already melted a good chunk of it into the steak, so just enjoy the meat of the steak flavored with that wonderful fat.

This is probably ludicrously over the top but you could always cut off the fat and remove the silverskin and then use transglutaminase to glue the fat back onto the meat. There's an excellent post on Cooking Issues with some great information here:

http://www.cookingissues.com/primers/transglutaminase-aka-meat-glue/

you could cook the steak longer: notice how you've transformed the exterior 2mm of connective tissue on both sides into more edible gelatinous stuff.

another reasonable way to do this is cook the ny strip as a roast (to 100° or 105° by your photo). The hotter temperature to the exterior would transform the connective tissue completely, and leave the fat a little crispy but still there.

if you insist on a steak, a cool temp covered barbecue would do the same trick.

lastly: you could choose a different cut (hello, prime rib) which has fat that's not partitioned by silverskin.

This is just the nature of the strip loin. If you prefer fatty goodness without this tough stuff along the edge, you would be much happier with a ribeye.

Cut off slice of steak with fat and silver skin. Chew. Allow flavour to anoint your palate. Swallow the goodness. Spit out tough items as the sliver skin. Problem solved...we are carnivores are we not?

I live in the Ecuadorean Andes where cattle often eat "scrub" and after butchering the meat is not aged. I am constantly having to experiment with the meat I get from the butcher here, in the highlands. In the big cities I can get Argentinian AND US Black Angus beef and it is wonderful but also quite expensive. And I don't always get what I actually order from the butcher, even with a color-coded diagram of the cow. Last week I ordered a tri-tip by colored diagram (have done so successfully, several times, in the past). Instead, I received a whole SKIRT, silver skin, bone, and ALL. A nightmare I will be sure to not repeat.

So, I wonder if you can remove the silver skin, toss it, AND THEN remove the chunk of fat. Then take butcher twine and tie the chunk of fat back on the steak so that it is where it originally was. If we can take the front of the rib bones from a standing rib roast, have them removed, and then tie them back onto the roast, then I don't see why you couldn't tie the fat back on. I would definitely try it.

Don't be afraid to experiment and write down your method and results. Good luck.