It is very possible to use the 3:15 rule without map updates. You just need its bearing from you (rather easy) and a confident skill in measuring distance.
If you take those two values 3:15 apart from each other, you have two positions on the map, so you have both AOB and speed right under your hands. These things are far easier done if you're not moving, but still possible to count in your speed and heading.
Things get a little awkward if:
1) You don't have enough time. Doing the measurement at least twice means you will be watching your target for 6 and a half minute.
2) The target is far away. The range estimate miserably fails for me from 3km upward. (see the problem between 1) and 2) ?)
3) You are moving. It gets very hard to account for your own movements. But do you have the time to watch the target for 6 minutes when you should be getting at some estimated firing position?
Personally, I totally fail at measuring distances and estimating AOB. When I try to play without map updates, I frequently fail to get to proper firing position, making the shot even harder. Also I tend to force ships aground or even ram them when leaving the base...
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