I happen to be a surveyor and to be honest, none of the methods that are being described are that accurate.
First thing is how are the bearings on the survey done? Sometimes these will be based on what you would get with a compass and sometimes not. A good way would be to try the bearing on the survey, walk towards the corner and see how close you get. The rule with the compass is "always ahead, never back". You work on your forward bearing and never look back. The way I do it is to look ahead as far as you can see and pick out an object, such as a tree. Then walk to it without taking your eyes off it. Then keep doing this until you see how much you miss the corner by. Then adjust your bearing and try again until you get a bearing that is close to hitiing the corner. This may take several trys.
I think you will find that this method may take alot of time and may not be that accurate. You will also need a good surveyors compass that has a good sight on it, you are probably talking a $60 compass. If I ran the line for you with a compass, and I'm good at it, I wouldn't tell you I was any closer than 10' and any given point if the line is a half mile or longer. The truth is I would probably be better than 10', but there is no way to no for sure. If you aren't good at it, you could be off more than 10' really easy.
There is a reason that is expensive for a suveyor to do it, it takes alot of expensive equipment and calculations.
BTW if someone tells you to use a handheld GPS, IT WILL NOT BE ACCURATE ENOUGH. It will not be any better than a compass and most likely worse.