This is approximately what the characters look like in my head. Also, I guess their age is close to how old they would be in AQ.
FitzChevalric Farseer - Alex Wolff (1997)
I know he is somewhat older than Fitz in AQ, but imo he would be able to play an 18 year old. Furthermore, he has the Farseer looks due to his Jewish heritage. And most importantly, I think Alex Wolff really has the face and the acting ability to play a main character like Fitz.
Burrich - Clive Standen (1981)
If this man would play Burrich, I would totally get that Molly had a family with him. I know Standen from Vikings and he could play the stern, but loving man that Burrich is. One of the easiest picks for me.
Molly Chandler - McKaley Miller (1996)
Beautiful actress, somewhat older than Fitz's actor, could really show how strong and independent Molly is.
Verity Farseer - Burak Özçivit (1984)
Choosing someone for Verity was very hard. I wanted him to look like a Farseer, so I searched for Mediterranean and Middle Eastern actors. This actor is Turkish and exactly how I imagine Verity.
Regal Farseer - Frank Dillane (1991)
I mean, he almost radiates Regal, doesn't he? (And that's not an insult) Dillane has the right age, has the right features that make clear he is not a true Farseer and the smug expression is very Regal.
Kettricken - Caylee Cowan (1998)
Again, a beautiful actress, with the northern features that Kettricken has. She almost looks regal in some images. It was hard to pick but I think she looks like Kettricken the most.
The Fool/Beloved - Ty Simpkins (2001)
This was, no doubt, the hardest character. I mean, Hunter Schafer is excellent if you see the feminine sides of the Fool more. For me, however, Beloved is slightly more masculine than feminine, although of course he is both. Picking a male actor was hard and in the end, I just picked a younger actor mostly for the mocking expression. I don't think it's the perfect actor, but I don't think someone as perfect as Beloved could exist, you know?
Lady Patience - Vaishnavi Sharma
This was the first character I had an actor for. When I saw her in Mr. Robot, I knew she was the right actress. I don't know how old Vaishnavi is, so it's possible that her age doesn't totally match Patience's age, but I don't really care; it's like this lady simply is Patience.