I decided to take the traditional route and after some poking around on the internet, learned that what I needed was a product called Land O' Lakes Extra Melt. Probably because it doesn't sound very appetizing, I remembered seeing it before and even remembered where. So, I headed over to Restaurant Depot and there it was, in the walk-in, in 5-pound blocks. Next to it was a White American Cheese product called Sabor Nuestro Super Melt. I bought a 5-pound block of that, too.
I ended up going with a 70/30 blend of the 2 "cheeses," favoring the Extra Melt, which was slightly less salty-tasting. I started by crisping up a couple tubes of grocery store chorizo in a large skillet. I removed the chorizo and in the rendered fat, I sauteed a whole mess of diced up jalapenos, serranos, poblanos and scallions.
I diced the cheese into 1-inch cubes and melted it over low heat in a dutch oven on the stove top. For each pound of cheese, I started with a cup of whole milk but that left me with a very thick mixture. So, I ended up adding a lot more milk and in the end, used about a quart for 2 pounds of cheese.
Once the cheese had melted and combined with the milk into the preferred soupiness, I stirred in the cooked chorizo, peppers and scallions. I also added 2 small cans of mild, diced green chiles, some ancho chili powder and some cayenne chili powder. I had planned on adding a can of Rotel tomatoes but I forgot. Once everything was fully combined, I moved it all to a crockpot and ate it throughout the day.
I'd say I got pretty close to what I remembered having in Austin. Obviously, it wasn't exact but it was close enough that it really scratched the itch. And the nice part is the my stash of 2 "cheeses" should still be good when I make this for next year's Super Bowl.

=R=
By protecting others, you save yourself. If you only think of yourself, you'll only destroy yourself. --Kambei Shimada
Every human interaction is an opportunity for disappointment --RS
There's a horse loose in a hospital --JM
That don't impress me much --Shania Twain