Im certainly not an expert at this, but I think I would give it a shot. Do the underwear, but also get plastic pant that go over the underwear. They still get the full effect of being wet if they have an accident, but the plastic pants help you out. I used them with my 3 year old the first few days. We tried 2 different times with him. the first time we tried the underwear, it was
Quite honestly, although it never hurts to give it a try and give your dd the potty training exposure, I'm not sure I'd push it at this point. Your dd isn't showing signs of interest, and with a high needs baby, potty training just puts a lot more stress on you (and on dd by association). You can give it an initial try if you want, but you may just want to wait a few months before giving it a real try.
One of my (four) children was like you describe your dd. He did things on HIS schedule. He was very resistant to potty training until he decided he wanted to potty train. He even had preschool teachers who pushed him to potty train who finally gave up on him since he was so resistant.
Then one day ds decided he was ready. We still had a few accidents as he adjusted to using the potty, but it was relatively easy since he'd decided he wanted to potty train.
Your dd is old enough to potty train, but she's not so old by a long shot that I'd worry about it yet, esp if she's not showing signs of readiness or interest.
BTW, potty training when asleep (nighttime and nap time) is different than daytime potty training. The body must first develop a hormone that signals the kidneys to slow urine production when the body is asleep. Without it, the body produces too much urine to stay dry. When your dd shows signs of having developed the hormone (less wet diapers and/or occasional dry nights), then you can limit fluids before bed and awaken her once during the night to use the toilet, to help nighttime potty train her.