Rita is not the 'best' survivor. She lacks Wendy and Yorick’s ability to continually reuse cards they like. (She has access to Resourceful and scavenging, so she’ll get them back, but it often takes an action to replay them.) She doesn’t have the deck manipulation of Patrice, and she doesn’t have Duke to help her sniff out clues.
But she’s my favorite, because she has something no other character has: the complete ability to avoid her problems. Luke might be able to hide in his gate box, but he has to explore new locations before he can access them.
Solo Rita is an exercise in Benny Hill comedy. While her iconic card is "I'm done runnin'!", It should really be Track Shoes. With it, she can turn her first action from evade into a jaunt through an enemy-controlled zone, and to a third location. Nonhunter enemies take one action from you, max. That keeps your hands free from weapons, and while a meat cleaver will be helpful to deal with your low sanity, a newspaper and an Old Keyring mean that you can get all the clues you need. (If you’re going for a cleaver, team up with the other student athlete.)
In multiplayer, you’ll probably want to add more damage, locking down enemies for guardians and basically removing the “retaliate” keyword from the deck. And as you go, you’ll gain access to high-level survivor cards that benefit the entire team.
But you haven’t lived until you’ve run around the mad planes of Carcosa, with three enemies and two weakness cards chasing you.