Sure you're in trouble, but wouldn't it be great if you could still see what's immediately infront on you?
It's a nice to have, not necessary.
There's also multiple ways to maneuver a Starship without computer control.
Short of having Manual Physical/Mechanical Over-Rides & Battery Backup to run the computer, most things are directly computer controlled for a reason.
Even in modern Aircraft & Ship design, most of the Mechanical linkages are going away in the name of efficiency & fuel savings.
Everything is going full digital for control interfaces.
Heck many Combat Fighter Aircrafts are designed to be Naturally UnStable and requires a computer to constantly adjust the control surfaces hundreds of times per second.
Something humans couldn't possibly do.
The calculations for basic manueverability of a space craft would require some form of computer just to make it practical for Humans to do the basic inputs to get the end results in manuevering that we want.
Especially given the "Time Sensitive" nature of space flight, much less regular Aerial Flight in Atmosphere.
Even
NASA's STS Space Shuttle was completely "Fly by Wire", no mechanical linkages inside.
The Space Shuttle's fly-by-wire control system was entirely reliant on its main computer, the Data Processing System (DPS). The DPS controlled the flight controls and thrusters on the orbiter, as well as the ET and SRBs during launch. The DPS consisted of five general-purpose computers (GPC), two magnetic tape mass memory units (MMUs), and the associated sensors to monitor the Space Shuttle components.[3]: 232–233 The original GPC used was the IBM AP-101B, which used a separate central processing unit (CPU) and input/output processor (IOP), and non-volatile solid-state memory.
Imagine the computers necessary to run one of StarFleet's StarShip, just for basic Manuevering.
It would be many orders of magnitude more powerful & complex than anything we have today.