Have you tried the Windows Game DVR?
I mean ... it can record at 1080p@60FPS (because it do) at such decent quality (without be choppy or something) with a Bitrate of 40Mbps at "High Quality" setting ... unless you wanna to "Stream it" but if you just wanna record use the Game DVR instead, uses less resources for such nice quality recordings
but at OBS the 1050 can push Freelancer at about 110FPS~ if you are Streaming at 60FPS above 5-6Mbps of Bitrate or Higher this is due the 1050 having a Nvenc but isn't fully optimized
About Omega-52, Frame drops when you approach the planet this is because (and is reported) about "particles" near it, it happens to me so i belive is just a thing or badly optimized or something is taking time to perform at all using the D8D9.dll (to make the game run of GPU) is less notorious if you are in Fullscreen, but Windowed is impossible to not have such issues, kinda interesting ...
As i told if you are like @Tenshi Kuonji who stream sometimes the game to Twitch then stream it using some kind of 4-5 Mbps~ at max at somewhere around 900p ...
But if you are looking for 1080p @ 10+Mbps in streaming while playing ... then sadly is too much for such small encoder ...
If you are just recording, use the Windows DVR Recorder, can record up to 6 Hours or so ... continuously ... so you will not have such issues ...
but using Shadow Play at least for me only dropped me FPS till i accomodate to a bitrate somewhere in the 30~'s
(And after that i just installed the Nvidia GPU Driver using a cheat to not install anything else i don't need like Shadowplay or other useless nvidia crap that cost more than what benefit could get from such things)
but yep, you can do such thing, because the 1050 can run Discovery at max at 175~ or so in FPS even in Event Battles ... I have tried it ... //with same card on Laptop ...