Hi there,
It sounds like he might be UT. Could you post his day in an EASY format?
At around 3-4m babies go through the transition to a 4h EASY. It's not rigid 4h, but more that there is a jump in A times and that stretches the cycles longer. Some babies will have 3.15, 3:25, 3:45h cycles, every baby is different.
Many parents notice that baby can be awake for longer times but can't space the feeds just yet. If that's the case with you then you can either feed in the middle of A times, so your EASY looks more like AEAS, or you can feed normal and give a small top up before the nap (just make sure that there is a short A time in between feeding and sleeping so he doesn't associate the two).
There is some more info about the transition here:
FAQ's - Frequently Asked Questions & Related InformationIt sounds to me like you have things pretty much figured out WRT teaching him ind. sleep, but if the A times are not right and enough and if naps are too short then it could effect the night and cause NW, which is what's happening to you, right?
IIWY I would work on extending A times to age appropriate A (
Average A times- BOOKMARK ME! ) and would try and get longer naps out of him, using Shush-pat. PU/PD is meant only as a last resort and is better for older babies. Many parents say, including myself, that at such young age PU/PD is OS the baby.
And I think this link can answer your question re Shush-pat being a prop:
Why are Shush Pat and PU/PD not props? HTH