I also do solo recon. I ride a fast horse (heavy hunter or coarser) and again, I don't bee-line to the enemy, instead I go up the side of the map, see where they are, take a good look at the terrain between my troops and them, and then move my men accordingly using maw's advice.
Generally, though, I tend to avoid engaging archer-heavy troops.
One other tactic you can use... a bit dangerous, but it is effective if it works. Tell your troops to hold where you spawn. You ride out to the enemy, when you get there, just ride in circles around them, herd them in so to speak. If you are close enough, they will pull out melee and put away bows. If they do shoot at you, you are riding at full speed and riding laterally to them... they have the lowest probability of hitting you in this situation. Also, keep your shield up. Once you've done this, continue to ride in circles and call your troops in. When your troops get in range, give a charge command and you should get melee vs. melee. I usually hang back and pick off any enemy that is foolish to pull out a bow.