You have THREE good reasons not to repeat your dad's solution. Three reasons to set a better example.
I was one of those people who used to say...Gah! Get over it! Pull yourself up by the bootstraps and fake it till you make it!
Yadda.
Yadda.
Yadda.
Then, (as so often happens in my life when I am unsympathetic toward an issue), I had my second son and WHAM, I was in that very dark black fog you are describing. I didn't get those kind of thoughts, I just stayed pissed off all the time. And I told myself all the things I thought about depression before, and it didn't make a bit of difference.
I was so prideful about getting myself out of it I was willing to subject the world to my bad attitude rather than see my Dr about it. But the hole only got darker and meaner, and I was such a pleasant person to be around..heh
After two loooooooooong years I went to see the Dr. He prescribed an anti-depressant and I took it for three months. Didn't like the way it made me feel so I went cold turkey and flushed them down the toilet. (I don't recommend stopping this way. The withdrawal was so bad my kidneys almost stopped functioning and I had lots of other horrible side effects for months, not the least of which was a screaming banshee kinda thing.)
But I bit down and white knuckled it for another year. FINALLY a new Dr did some blood work and found out I was not feeling "myself" because my thyroid stopped working most likely right after my second son was born. So it was chemical the entire time. And it wasn't the anti-depressants that made me feel sluggish but my thyroid.
ALL that to say this....I thought I was being strong, but I was just being stupid.
It sounds like you are not above letting someone help you. Good for you Mason. It's very wise to know what you can handle alone and what takes a little help.
And if depression does happen to pass on to your boys, you have set a great example by showing them getting that little bit of help may very well save their lives.