I know the struggles of needing hdmi, i had a rinky dinky set up recently with a H81 motherboard only offering vga out. Oddly i couldn't get aux to component audio to work with a tv older then time itself so in a fit i just tossed some old Dell computer speakers in the mix and had video from the vga port to t.v and the audio coming out the speakers. In the speakers defense, they sounded quite a bit better then the speakers in the t.v even if they looked like they crawled out of the grave from 2004.

Not to long before that,i failed phenomenally to get a vga to hdmi adapter and aux cable to work with the same set up on a t.v only offering hdmi ports. I got more ticked then annoyed and just swapped out the set up for a 8350 based one with onboard hdmi. Well W10 was a wreck with it so before i could beg someone ANYONE for a valium, i just downgraded to W7 and had a issue free HTPC experience.
I just assume the op wants audio to carry over to a new t.v and i could only suggest if you can get like a GT1030 or maybe even like a 960 if you got a decent psu then do it. . I mention the gtx 960 cause well i got hdmi out on my HD630 and my B360 motherboard well it locks itself to 30hz at 4k and AGAIN no audio. Picked up a cheap local used gtx 960 and was over the moon. It was way cheaper then the 1030, it supports 4k 60hz and it can game quite a bit better then the 1030.
I wish for nuclear annihilation to anything with a vga port though. I am sitting currently looking at this old 24'' Dell monitor in the closet with only dvi and vga . I do also have a 27'' 1080p monitor with vga and hdmi support so MAYBE the 24'' will see a quick drop and sudden stop.

I reside in a second story room with a VERY BIG WINDOW! Only thing saving the 24'' is the fact my 960,1060 and 1080ti have viable dvi ports. The 1080ti is like the last of the mohicans offering that dvi option though.