i know my DS was a challenge until he got to about 10 months & it's really only become far easier in the last couple of months.
DS also fed to sleep & i found the easiest way to get him down for a nap was for him to have it on our bed (with a fortress of pillows on the floor etc). that way i could either lie down to feed him to sleep & then it was just a matter of stealing back my nipple when he was asleep or him dropping off. if i was holding him to feed him, then it meant it wasn't such a drop to put him down, unlike the cot.
in the end, DS moved to a single mattress on the floor of his room when he was 9 or 10 months old & even though he hasn't fed to sleep for a long time, i still lie down nexty to him while he's drifting off.
maybe not ideal, but it's certainly taken away the naptime stresses! i also found (and still do!) it easier to resettle him during naps this way.
we haven't used daycare, but when DS has been looked after by my MIL, she has always been able to just hold him until he goes to sleep, or close to it. he never ever let me do that so they definitely adapt to different methods when with different people - maybe at daycare your DD won't have the feed/sleep association that she has with you & won't get too upset with something different?
Bookmarks