I had this idea in which Grace is able to keep sending his little blogs (I would love if they are videos, even if it is the book universe, but anything works really) to Earth thanks to a super powerful satelite that the Eridians did in a effort to keep contact with humans. However, all the content the satelite receives reach Earth like years later even when its frequency waves are very fast, because Erid and Earth are that far away one from the other.
A couple of years after the beetles get to Earth and Stratt and what has survived of the Project Hail Mary's taks force find a way to send the astrophage to venus and the Sun and Earth slowly starts to return to what it was, their satelites start getting Grace blogs.
In the first blogs he is trying to summarize some things abour the taumeba, maybe even throwing some ideas to make it more productive, his original plan was trying to brainstorm some ideas to return what must have been a humancivilization in crisis for almost 3 decades, but with the time is just Grace talking about his scientific discoveries, his life in Erid and just him rambling.
In Earth no one can believe he is alive and well living in an alien planet, and in a way Grace little blog become something that helps people to reconnect, it is not only a scientific report, it is a documentary and a reality show all at once of the man that was sacrificed for and by humanity, and now he had find a chance to live, but it is so so far away.
It makes people feel intimate and cared for, because Grace talks to the camara (or write) with such familiarity and ease that it just makes you feel close to him and that make you feel close to those who also watched it.
The blogs and the Earth are year appart. Humans are able to see it now, but for Grace those blogs were done years ago, and even when he seems to have done them each week or so, they can't know when they are just going to stop, so they tresure them.
Some things I think Grace would have share in this blogs:
He would explain how he is able to live in Erid, talking about the biodome, the me-burgers and eating taumeba.
He would do a tour around the biodome.
He would speak of the classes he is preparing for the pebbles, because eridians are so smart but they haven't covered all the faces.
He would talk about Eridian biology and culture he had got to learn through time.
He would show the xenonite and also some experiments he had done with it.
He would show a lot of experiments he does in his free time.
He would confess the things he miss of Earth.
He would say that even when the Hail Mary can go back to Earth that he would not do so, because there is so much to learn in Erid, and opportunities like this only come once in the life.
There would be also more personals blogs.
Grace presenting his pebbles students, calling list, while the pebbles come to the front to pose and say hi to the camera.
Grace making jokes to Rocky, or making one of those videos of "showing Rocky things he has never "see" before".
Grace showing Rocky's mate just ot have to go very far away so the camera is able to catch the whole body of Adrian, who waves happily.
Grace showing off the jewlerly that eridians have gift to him, and other gifts that he is not sure what they are but still keep.
Grace crying while showing two little pebbles in his hands, while Rocky is standing besides him and tells that those are his and Adrian's pebbles and one is named Mary and the other is named Grace, and Grace crying harder.
A blog of him trying to get in the atmosphere of Erid (using a suit of course) to then realize that everything is pitch black and that even with the flahlight he has he can see little more than eridinas, walking in and out of his range of sight. Then saying "Nop, I'm not doing this" and turning back to his biodome.
If Simon appears submarine get to Erid, Grace would do a lot of blogs about it like:
A video about how the submarine from outside and he recording the exact moment in which he sees for the first time the bloody unconscious man inside, while everything that can be heard is Grace going "oh god, oh god, that is blood, that is so much blood."
A blog of Grace trying to understand how the submarine got there at all.
Grace making a little tutorial of how to avoid radiation and how to deal with it.
Grace pointing all the mutations and pecularities he had found in the sleeping body of the man of the submarine. He is missing an arm, and has pointy teeth.
Everyone in earth trying to do theories of what the heck is that man.
Grace recording his first meeting with the- now conscious and not longer bloody- man, just to have in video the exact moment that he says :"an angel?" to then deny, start screaming about mind games and jump over Grace.
The usual constant blogs stopping for a while, and the people on Earth thinking that the man killed Grace.
Grace returning just to look like he is about to get a psychotic episode, while he is showing a board with calculations and questions and he procedes to explain how the multiverse may work.
Grace presenting a very awkward looking amputee man to the camera, who murmurs that his name is Simon.