It may be better to fly a square, rather than a circle. You can look at your map when flying the edges of the square, and fly hands-on around the corners. As long as you always keep a specific object on the ground in sight so you don't drift further off course, this will achieve the same objective as flying a circle, only easier.
One other, related point. If you need to do this, then immediately make a note on your plog of the time that you started circling (squaring?). If you don't do this, then a few minutes later you'll have forgotten how long you'd been flying for, and you won't be able to work out roughly what area of the map you expect to find yourself in. Likewise, once you've located your position and you set off again, note the time immediately - and once you're established on track you can use this time to revise your ETA.
FFF
--------------