Once you're settled in to a circular orbit at the correct altitude, you can enter into an elliptical orbit, having its periapsis at the altitude and latitude needed for the survey, with a period such that you'll be in the correct spot next orbit.
Say for example the measurement needs to happen at 100°W longitude, 20°S latitude. You notice this orbit that you're crossing 20°S latitude at 0° longitude. So you know Kerbin needs to rotate 100° in the time it takes you to complete some whole number of orbits.
As the commenters above said, Kerbin rotates at 1°/min, so you need to complete an integer number of orbits in 100 minutes. You can then burn prograde at 20°S latitude while you're over 0° longitude so that your new orbit is 100/3, 100/2, or 100/1 minutes long. You can use the orbital period formula to calculate what your new apoapsis would need to be, or you can use the tools built into Kerbal Engineer and fiddle with the maneuver node until the post-burn orbital period is the desired length of time.
MrSystems's post in Decouple was marked as the answer
Two KSP facts:
1) The camera always follows the center of mass of the active ship. The part you place first in the VAB is the "root" of the ship, and as you decouple various stages the active ship stays with the designated root. You can use the Re-Root tool in the VAB to change the root part; in most cases you'll want the root to be the Pod part on the upper-most stage.
2) KSP will mark a craft as "Debris" if it does not have a Pod on it.
Therefore, if you decouple and the camera stays with the section marked "Debris", it is because a) the designated root part was on that half of the craft, and b) that half of the craft has no Pod.
MrSystems's post in Kerbin Orbit projection was marked as the answer