Is there a way to see winners all in one place?

If I understand the question correctly, I think you can do this with the ESGST add on. It adds a graph symbol next to the 'Gifts Won' and 'Gifts Sent' sections of profiles, clicking on the graph compiles statistics on one page.
You can do this for other users too. I don't want to list people who won your giveaways just in case it breaks some kind of 'calling out' type rule, but I can tell you that two users have won 9 games from you. You'll find them if you check your giveaways for "Clockwork Tales: Of Glass and Ink" and "Sniper Elite".

https://www.steamgifts.com/discussion/oHtt2/check-out-your-deeper-sg-stats