Thank you all!
Laura, I think my DD is one who just will not suck well or feed when she is asleep. I have tried to feed her asleep, but she does not even acknowledge there is a bottle in her mouth...lol! She is just out! So, I did try waking her to eat, and that did not work well either. So, I decided to try a few days of just skipping the DF and letting her wake to eat when she wanted to as you said. I think it is going pretty well so far!
In order to skip the DF, I cut back from 6 bottles a day to 5. I also increased from about 4-5 oz. per feeding to offering 5-6 oz. per feeding in order to make up for the dropped bottle. I wasn't sure if DD would accept more as her reflux has made it more difficult for her to feed at times, but so far she has been eating like a champ! Is 5-6 oz. an appropriate amount per feeding at 4 months old? We have our 4 month check-up in a week or two, so I will see how she is growing. But, at her 2 month check-up she had stuck to the growth curve at the 50th percentile where she was at her 1 month check-up. She has been taking anywhere from about 24-27 oz. in 24 hours lately.
I do not really know anything about variable flow nipples. Thank you for explaining! Are they recommended for babies with reflux?