CS:GO streaming and recording dilema

So I have a problem, I play with an aspect ratio of 4:3 stretched across a 16:9 display and recording/streaming is hard because both Shadowplay and OBS dont stretch the image and it ends up looking pretty bad. I was wondering if anyone knew a solution for my problem, can I somehow record/stream in 1080p 1920x1080 (the default aspect ratio), but play in 4:3?

Can i ask why you play in 4:3 when you have 16:9 available?

For that stretch doe. It makes everything wider on screen some people prefer it for CS I recently switched to 16:9 from stretched and I like the native res better, but its a personal thing.
I know it can be done I have watched streams that are 4:3 stretched such as clg ptr.

Set OBS to record the monitor, not the game. That should stretch it.

ok thanks