What can a doggy fine artist offer an instagram pet influencer?

Hi, newb here who doesn't really use personal social media.

I make dog and cat fine artwork as a SIDE PROJECT so a lot of traditional marketing techniques are more trouble than they are worth. I've decided that a micro-influencer approach on Instagram is pretty much the main way to go. An alternative is some charity collab?

So if I find a look-at-my-dog type account, then what to do exactly? I could draw their dog/cat but that's like 7+ hours of work. That seems too high a cost for just a simple shoutout on their end. I do fairly complex work like that.

Also I'm hoping to sell pre-made original art or art prints, NOT do custom pet portraits to my true customers so I don't want to give off that impression for them.

I'm guessing I could offer to sort of use their dog as a model, give them a free print, then sell more prints and the original to somebody else?

Again, i'd like to reiterate that I don't like social media and every action taken there must be a pretty high return for the cost it imposes on my attention span. Seriously, it gives me A.D.D and I got a mechanical engineering degree to finish.