Ok, I have several questions:
1. What position are you applying for?
2. Score is a 6/7/5? OAR is is missing, though it's somewhat irrelevant for SNO/SNFO applicants.
3. Are you asked to selected only cardinal directions or is it in degrees?
I haven't seen the section or plan on taking the ASTB again, but from the information provided thus far it doesn't sound like there are any clear tricks or hacks. My suggestion would be to pick a couple major terrain features and use that as a pattern to reference in the "turned" map. If the "turned" map needs to be rotated left 90 degrees, you would be facing East for example. You could use the app referenced above, play geometry based logic games, or even video games that require constant map usage (preferable where there is tactical map facing with your heading at the top of the screen and a strategic map with North at the top).