You sound a lot like me. I've also been diagnosed with ADHD inattentive type, and depression. I'm a 4th year psychology major and recently I stumbled across Atypical Depression. It fits my depressive symptoms really well and is the most common subtype of depression, and yet I had never heard about it in a psychology class and it's not in any of my psychology text books. You may want to research it to see if it fits your symptoms than a standard diagnosis of major depression. Diagnosis of atypical depression requires the ability to react positively to happy events, unlike regular melancholic depression, but as soon as the positive stimulus is removed the depression comes back. It is a more chronic and debilitating form of depression, because although you are still able to feel euphoric at times, the depressions are deeper, almost like bipolar, but you never reach the level of mania. Atypical also requires having two out of these four symptoms as well: Excessive sleepiness (~10 hours a night), excessive hungriness (I dont have this but I do have the other three), feelings of heaviness that last for an hour of more a day (feeling like you can barely move), and high sensitivity to rejection (innapropriate feelings of guilt/embarassment/failure/etc.)
Atypical Depression is more common in people who tend to be more right brain/creative types, and women, but this doesn't necessarily have to be the case. It also tends to start earlier, in childhood or teenage years.
This may not be you, but I though I would share because our diagnoses are so simular and my recent understanding of Atypical Depression has helped me understand my depression much more. There are different medications to look into, diffrences in personality issues to those with "typical" depression, and dealing with it involves a different approach than with more traditional depression.

Whether or not this was helpful, I wish you the best of luck from the bottom of my heart in overcoming your depression and the frustration that comes with both depression and adhd.
,
Oh, I feel the cosmos