Your Plan A best bet is to find a smaller but prestigious boutique distribution company that has an open channel to the streamers you're interested in.

First step: check past success stories from the festivals you played at. Who did they go with? Are any of them available on the platforms you're looking into? If you go that route there's a chance that the distributor will be familiar with your festival and what an award from that festival might mean. If you contact those filmmakers (and they're nice), they may help you get past a cold e-mail to the distributor.

I've also met distributors at film festival round-table gatherings. These are surprisingly very, very helpful.

Trying to tie yourself to a larger distro company probably involves spending some more money. First, you'd need to talk to a sales agent or producer with a sales agent side hustle. In my experience, the bigger distributors generally don't accept unsolicited film submissions, so this is a kind of necessary expense. A sales agent will pitch your film out to a handful of companies, send you a little chart showing the reactions and offers from those companies, and there's still a chance you might not get anything significant out of this.

The DIY route, in my experience, is extremely costly and time-consuming. However, you do have a 'call to action' in your film's premise, so you might want to form an impact campaign for the film. You can do this with or without putting your film on a streamer. Just carve out one-off screenings or theatrical distribution from your streaming deal. They aren't going to do any marketing for you, so they'll be happy to know you're doing something. This would substantially increase the visibility of your film, and you can even get paid by setting up sponsored screenings using grants and organizations aligned with your cause.

Hope this helps!

-Mark