sirgallivant said..I have a 28 with a skeg and transom hung rudder.
I was thinking about a vane but what you have ramona, would sink my boat.
Is there a different vane type for tiller operated transom hung rudders? Any websites you could recommend?
I googled vanes but they all are - sorry - terrible looking contraptions to my eyes. They might work well but they are unsightly and fairly complicated.
I found, using the cutter sail sheets and truck inner tubes cut into rings, hooked up - instead of surgical rubber - on the tiller working all right.
I would not mind trying a vane, though.

Mine is the one in the video above. It's not heavy, I can't remember what it weighs now either 5 or 8 kilos. I can hold the whole unit easily with one hand at arms length [ for a short period!]. Its held on my stern with two 5/16th SS bolts. My oar blade is epoxy coated timber and light.
I personally would stick to one of the standard systems like Monitor or Fleming etc. Transom rudders mean the oar is mounted further aft but they don't weigh that much really. And with remote controls so they can be set from the cockpit. The new Flemings are not as heavy or bulky as the Flemings pictured above.
Jan Alkema developed an Upside down vane set up that works directly on his transom hung rudder. The USD vane has some advantages and his system seems to work well. Jan is in the Netherlands and is certainly willing to talk about his system. He has Youtube videos.
Jan's theories have been used to make the Mister Vee system which weighs 1.25 kilos all up. Web page here
http://windvaneselfsteering.com/Mister-Vee%27s-unique-aproach-to-self-steeringYou can also search that site for the original Walt Murray designs that were originally built for $20. Now it would cost a least triple that.