Having followed the subsequent posts, most folk have recommended the adaptation of a tiller arm hydraulically powered that is mounted in the lazaret and attaches to the rudder head unit. Quite a good system, but more complex and expensive, especially if it requires you giving up the chain, rod, and cable system you already have and like.
I was in a similar position to you with my Clipped (CHB) 34, which also has the chain and rod steering, which is so beautifully simple and trouble free in the main.
I looked into auto pilot alternatives and there is a system by Raymarine, which is a rotary drive designed for power and sailboat systems that can be driven from the helm position. It mounts behind the steering position, and connects through an accessory chain and sprocket, into the already present cable and rod steering system. The outstanding design of the Raymarine rotary drive unit provides smooth, powerful autopilot controlled steering with quiet operation. Seen here...
https://www.raymarine.com.au/autopilot/drive-unit/
Select the drop-down under Mechanical Rotary...
I was tempted, but in the end decided I would not use it quite enough to justify the cost. But it probably is the best way to automate the steering in your current chain/rod/cable system. Best of luck anyway.