Being a relatively lighter script, AM shouldn’t adversely effect with DR’s work in any way. Those concerns are more valid for dense subs like EQ.
Feel free to stack DR with AM.
Here’s another approach:
Start by stacking AM with Dragon Ultima.
Because Ultimas are designed to be lighter and to support major programs, this way you’ll get some benefits and also a softer experience of DR.
After a couple weeks, you can take the call of whether you need to, or want to, stack DR Stages instead.