Reddit mentions of AKG Pro Audio K371 Over-Ear, Closed-Back, Foldable Studio Headphones

Hmm, not a lot to spend on speakers and headphones. Shooting from the hip, around that budget, I'd probably go one of two directions:

A pair of reasonable-ish entry-level speakers - something in the vein of the Micca [MB42] (https://www.amazon.com/Micca-PB42X-Powered-Bookshelf-Speakers/dp/B009IUIV4A) (which is passive, and so requires an amplifier, which can be [pretty cheap for a very budget option] (https://www.amazon.com/Lepy-LP-2020A-Class-D-Digital-Amplifier/dp/B01FZKA28Y/ref=sr_1_7?keywords=class+t+amplifier&qid=1573193876&s=electronics&sr=1-7))/[PB42X] (https://www.amazon.com/Micca-PB42X-Powered-Bookshelf-Speakers/dp/B00NXAEPDC) (which is powered and so requires no amplifier) - which will run something a little north of $100 unless you're down to buy used, plus a reasonable lower mid end closed headphone ([NVX's branding of the Yoga CD880] (https://www.amazon.com/NVX-Over-Ear-Headphones-ComfortMax-XPT100/dp/B0093PVTPS) is a pick I like a fair bit). These speakers will be pretty alright, albeit imperfect to be sure, and there are a few decent-to-good closed-back options in the ~$100 range.

Alternatively, if speaker quality is literally of no importance, you could go for something in the budget range of those Logitechs - there really are absolutely not options that cheap that are any good at all, but if you only use speakers to occasionally listen to youtube videos, it might be acceptable. That would leave more budget to allocate to the headphone side of things, where you'd have options like [AKG's] (https://www.youtube.com/watch?v=svAmJheRxAg) K371, NAD'S HP50,or on the used side of the street [AKG's] (https://www.rtings.com/headphones/reviews/akg/n700nc-wireless) N700NC, which are quite robust options in the closed-back world (particularly, in my opinion, the N700NC, which sounds fantastic to my ears with its digital signal processing active, and has quite good noise cancelling as well).

It's a bit of a tight squeeze regardless - if you're down with used gear, you can get a bit more for your dollar, but at very low price points you're in a space where shipping costs may dwarf savings, so even that might not help much, outside of headphones (which don't cost much to ship, and have a quite vibrant used market).

If you'd like more information or options, just let me know - I've thrown some links in above, but I'm pretty short of time today, so I figured I'd offer what I had from the top of my head rather than leaving you waiting.

If you're willing to go a bit over budget, the k371 are all the rage right now https://www.amazon.com/AKG-Pro-Audio-Headphones-K371/dp/B07WZH7WM9