In case anyone is interested, I run my game in the present day. I do run the official stuff, but just updated for present day, and I intersperse homebrew into it as well. I basically devised a whole scenario that allows us to be fighting the Goa'uld and the Jaffa in 2022. Here is the text of that document. I have more noted below it.
Some notes.
So obviously, the Phoenix site is now in the Large Magellanic Cloud instead of the Milky Way, Haven is now a section of a larger city (Hyseria) that is built in the ruins of an even older Ancient city that had been bombarded from orbit. I used the following art I found online to represent Hyseria (click). I placed Haven in one of the craters, while Phoenix Base itself is built into the side of one of those craters. This creates a lot of fun opportunities for diplomacy with the natives.
I went with General Carter instead of General Loyer, since I have no attachment to that character and now that I moved the plot into the present day, she's free.
Basically any time the premade adventures mentions Anubis as being the Goa'uld in charge, I instead change this to Zeus, since he is the supreme system lord of the LMC in my story. While I have left several of the existing Goa'uld mentioned in those adventures with their original names, I have changed the names of a couple. For instance, I changed Tawaret to Urania, as I am putting a lot of the Greek gods and goddesses in the LMC, at least the ones not explicitly mentioned or shown on the show to be in the Milky Way. For instance, I can't use Cronus or Ares for obvious reasons, but there are plenty of others up for grabs.
The actual stated goal of the SGC's mission in the LMC is acquiring new technology. Unofficially, there are two other goals. First, of course, there are some veterans of the original fight with the Goa'uld, both of the Tau'ri and their allies, that see Zeus' empire as unfinished business in need of smashing. This has been what has attracted a lot of the Tok'ra and Free Jaffa who joined the expedition. Secondly, several top people in the SGC, such as Gen. Carter and Dr. Lee, would like to use the technology there to give the Asgard a second lease on life.
Hopefully this is interesting to some people. If you have questions about how I'm handing anything, just ask.
EDIT: To differentiate the gate addresses, we are using C as a prefix (example: C6H-985). Most Milky Way gates use P (example: P3X-254), and most Pegasus gates use M (example: M2R-435).