While it won't help you right now , try to take something from the fact that while you may be hating it now, you'll have so much more freedom in your 40s than the rest of your friend group who have kids later.
My DD turned up when I was 24 as well, and while I'm a bloke and worked throughout (as did DP) I still felt some serious FOMO at times. Just simple things like not having the freedom to go to the pub after work, not having the money to go to stuff, being dropped by friends because "No point inviting him, he won't be able to come" etc.
I'm now 39, with a nearly 15 year old DD, and can do all the stuff that my same age friends with small children can't do. Me and my DP can just drop everything and bugger off to the pub for a few hours in the evening, and DD is practically begging us to go so she can have the house to herself.
Holidays are now about what everyone wants to do rather than just entertaining DD. We can do city breaks and walk around Museums and go to nice restaurants and DD actually enjoys it. We couldn't have afforded that in our 20's anyway, so much better to get the cheap beach holidays in Devon etc out of the way back then.
And the best part is that I can keep up with DD. We went to Alton Towers earlier this year, with a bunch of her friends and their parents, who were mostly in their 50s. I chucked myself round every roller coaster there with the kids, while most of the parents noped out after the first couple and sat with the bags. While I'd hope I'll still be doing it in my 50s, the twinge in my back when we got back suggests I probably won't. But in the meantime we're going rock climbing this weekend, and will be taking the telescope out and going stargazing till stupid o' clock in the morning at some point to.
I know it seems an age away, but things do start to improve fairly quickly. They'll be in school before you know it, and you'll have that time during the day to work, or to study. And make sure DP is pulling his weight, if he's not looking after his kid by himself frequently so you can have some free time, or a night out with friends, he bloody well should be.
But I wouldn't go on a dating site, because that way leads to single parenthood, which I think most single parents would agree probably forces you to bury your own wants and needs a lot more than doing it with a partner.