Oh hell yeah, it's my time to shine! This is a topic that comes up in discussion on my stream like clockwork and I'm excited to explore the possibilities every single time.
To start, there are creative difficulties of including an IP like Stargate or The Expanse in an EVE Online crossover. There isn't too much in the way of established in-universe lore of these IPs to support an interaction between baseline, present day, earth and the numerous far away star systems of the future. Anything is possible with creative writing (looking at you, seed ship plotline), but an established and possible solution already in the lore or one that viewers/users can easily create in their own minds makes it an easier integration while also avoiding the impression that it's a soulless cash grab.
Furthermore, I believe that the true goal of an IP crossover event is to not only entertain the current fanbase, but take advantage of the established fanbase of a partnered IP. With this in mind, it makes sense to enter into a partnership with one that is large and long-established. This allows CCP Games and EVE Online to reap the most benefits.
The previous crossover with Doctor Who was an excellent example of a quality IP crossover with the EVE Online universe. There was no suspension of belief when it came it the possibility of the interactions due to "wibbly-wobbly timey-wimey" shenanigans and it took advantage of it's cult following that had been developed over 60 years to bring fresh mea- I mean, new friends, into New Eden. Unfortunately, the failing of this crossover was that a lot of new friends were unable to participate in the event due to their small SP levels and low skill. This resulted in a far lower rate of conversion than what there was the potential for. Learning from these successes and failures will help shape the next great crossover event in EVE Online.
That being said, my number one choice for a crossover into EVE Online would have to be Star Trek. Not only does it tick the boxes for being an establish IP with a cult following and having PLENTY of convenient explanations in the lore for an interaction with the EVE Online universe, but there is also a massive amount of content to take advantage of when crafting the perfect crossover.
Star Trek fans and EVE Online fans do have some overlap as well. I've done sponsorships for Star Trek: Fleet Command that my viewers have thoroughly enjoyed. Star Trek fans are not strangers to MMOs either, with Star Trek Online being a popular destination for gaming fans. This opens the door to a MASSIVE amount of profit. With a little bit of work from the creative departments over at CCP Games, the EVE Online store could be enriched with amazing ship skins and apparel that would guarantee immense profit. For example, the team could create Borg cybernetics, Vulcan ears, Klingon Ridges (which would go great with the Minmatar aesthetic), Star Fleet uniforms, or skins for ships that are undergoing Borg assimilation. Making this crossover and the related items "limited time only" would weaponize the FOMO of the fanbase and further drive sales. Then, a "legacy vault" can be opened in the store later on to give others a chance buy older items that they missed, sparking a second wave of FOMO driven sales. Hilmar could spend those cold Icelandic nights shoveling dollar bills into the furnace to keep warm and not feel bad about it.
TL;DR: Star Trek Crossover - For Fun, For The Fans, For PROFIT