I have a headset, that has 3 rings on it, the headset was designed for ps4 (as that allows for both headphones and mic on one). Now the issue isn't using both, but rather, using the headphones.
When plugged into my front port the headset is recognised, however, it sounds horrid, the back panel...
My headset is a single jack (with 3 black strips) and I got a cheap splitter to use the mic and speakers of the headset at once on PC.
It works great but my headset either slides out or it is being slightly tugged now and then pulling it out, this makes the audio go from perfect to barely...
http://www.saveonlaptops.co.uk/X550CC-XO016H-ASUS-X550CC-XO016H_1673617.html
or
http://www.saveonlaptops.co.uk/59421803-Lenovo-G50-70_1641305.html
these are some decent laptops for the price. The details you are asking for are a bit(a big bit) on the insanely hard to get for the budget.