Amanda, so sorry you're experiencing rough times. My dd was a 30 min napper as well, for the first 6 months. I'm glad that you have tried the techniques to lengthen them, but I would encourage you to try again for an extended period of time. I gave up too early and had to deal with a tired, cranky baby for 6 months.
Otherwise, she will need more naps during the day, and after short bouts of A time b/c she is still tired from not having the proper rest. I don't know how she sleeps at night, but my dd was a great night sleeper and that was my only salvation. Anyway, I remember telling my mom, "I know it's sounds weird, but she needs a nap every 2 hrs." Meaning, she would sleep 30 mins, be awake maybe 1.5 including the 40 mins it took her to nurse from being so tired, and then ready to sleep again. And that was when she was a few months older. Early on it was sooner than that.
So, you know you're not alone. Just keep doing the best you can, do whatever works to get her some sleep and you some rest. I'm sure it's not easy with a toddler, too. She'll eventually sort it out and it will be bliss!