Cheat Engine

[Monok]

Hi there! I'm new to Cheat Engine, but I completed the tutorial up to part 8 and did some tests before even writing this.
Basically I open the game, find the address for the characters' health value easily, and from there I generate a pointer map. I then Pointer scan it, depth 4, and I find some pointers. I know that not all of them are useful, so I simply add them all, and proceed to a new battle (the game loads a different address for each battle), and most of the pointers now have rubbish values. I remove them, and I'm left with 4 to 6 pointers that are consistent with the right values even after I sleep at the inn, do many different battles, heal myself in battle, I can even freeze and change HP: they work just fine.
Thing is, I saved the Cheat Map and closed both the game and Cheat Engine. When I reloaded the save and then reloaded the Cheat Map, those addresses didn't point nowhere useful. Either they become "P->???????", or they pointed somewhere with value "0", which is not the right value.
I tried doing a depth 9 search, but it net more than one billion results, almost all of them updated with the health value, I couldn't possibly test them all. This made me think that it was time to make the manual search, which was time consuming, but surely it would be better...but no, I have a problem: if I do search for the pointer's address value and add the right offset to it, I net tens of results instead of just one!
All I want is some static addresses for the characters' statistics, so that I can retrieve that data and do some coding on Python with it. What should I do?