Here's what we did. It worked for us, ymmv...
We first got her on a Razor scooter. My theory was that the balance "feel" was about the same as riding a bike. After a few weeks on the scooter she was riding it all over the place and able to keep both feet on and turn and all that good stuff. Then we got the bike out. Used what sounds like the BF method

except we didn't take the pedals off. We just had the seat low enough so she could "scoot" on the bike. I had her scoot and then slowly start picking her feet up. It took about 10 minutes and she had her feet on the pedals pumping away. She has not fallen once (except trying to dismount and getting hung up once).
Like I said. Worked for us. YMMV.
Good luck!!
BTW...the fact that she got mobile on the bike is what made me buy one after about 23 years of not riding. I'm loving it!! Been riding now for about 2 months and I did a fairly hilly 35 miles last Saturday and thinking about doing a 42 mile organized ride this weekend...
It's amazing what kids will get you back into!!