I don't think turning off your aircraft position on the map is going to be very realistic, because the FS09 maps are so bad-- there are no place names, no elevations, no manmade features, except airports, nothing that might be useful for navigation. And even with the aircraft position turned off, you know when you open it that you're right in the middle of the map.
I have tried to do a couple of trips in FS09 with no help from GPS or VOR, and it's not easy. I think the most easily identifiable landmarks in FS09 are lakes and rivers. The course of rivers and shorelines of lakes are reasonably accurate, so if you can find a readily identified feature of either near your destination, you may be able to find your way there.
Personally, I have done it where I kind of "pretend" I don't know where I am on the map-- I just don't open the map until I find the landmark I'm looking for, then I open it and say "Aha, here I am. Now on to the next landmark" and I close the map again.
Not as realistic as buying real charts, but it keeps me amused. 😂
Ed