Now this I could tell was legit feedback because I remember a youtube video of a guy who tried to rush a TEA clear in a week and was spending like 3-6 hours waiting in queue on Aether but eventually got in on certain days. However, in said video there is one point of hope. Some discord/group of people that get people clears after they reach a certain prog point - 17:00 https://www.youtube.com/watch?v=ctLjmUnIPNY. I checked the site and they're currently doing M1-M4 but if they eventually free up later or have something in the discord for Ult's specifically, it might be useful in the future assuming you can take a work day off since everything is pre-planned and you have a much higher chance to clear that day as opposed to needing several days if you were taking off work just to do PF. Other than that, I can only think of a few things:
1) camping Aether. sign in at 4AM and afk your character on console or pc since they removed the 30min timer with the last patch
2) gil tossing (which isn't a thing for 99% of players to be able to spend 50-100mil on buying pre-cleared raiders to prog with them)
3) waiting for them add the new jobs to old ultimates which would cause a spike in ultimate content in PF
4) you can try contacting @KihraOfTemerity (log site person) and seeing if they might add a PF like recruitment to Tomestone. It was a site that allowed people to advertise their prog points so I'd assume there might be a way for people to individually find/make a linkshell with people at the same prog point as them. Have informal statics that could be made temporarily.
Other than that, I am unfortunately out of ideas T_T