"blade tends to hang lower to same side..." - that might be your problem. I'm no expert but I've used a couple of machines with tilt and was able to steer the tractor quite well just using the tilt (no steering clutch or brake input). Those tractors also had very sloppy pins so flopped around a lot
You mean one of those "Hawaiian blades" that sway back and forth? lol
https://youtu.be/pGi9gLxRRJ8