The reason you can test positive for so long is that it takes time for remnant RNA from the virus to totally leave your system, and even though it's not replicating (you aren't infected or infectious), the PCR test is just detecting the RNA.
The other difficulty (impossibility?) is in segmenting the chronically infected vs those that are just working out the remnant junk of their recovered infection.
(I’m not ruling out any value of antibody testing, just saying I did mean antigen)
The choices become
1. Follow the majority guidance, wear masks, avoid large gatherings, get vaccinated, get tested often.
In which case you will have to continue paying for testing to travel (and risk not being able to travel at the last minute)
OR...
2. Intentionally go get covid (usually by neglecting all the above guidance). Get a positive result. Avoid expensive testing, have easier travel, get easier access to gatherings.
Choice 2 is valid, yes, but unless Omicron is much, much more mild for most people I wouldn't make that choice for myself.
Luckily I got an official PCR test confirming positivity at the very end of my COVID journey so I can take advantage of that horrible month.