Worn Down Mommy

My 3 month old will not let me put him down. He is EBF and usually nurses himself to sleep. If I try to lay him down he cries, and I mean cries. The breathless, teary eyed, red face cry. Also, I can't lay him down at all on a blanket, his rocker, etc while awake without the same reaction. This Momma is worn down. Any advice? Anyone else experiencing the same thing?