I would give it a go - I really do think your LO is ready and will do you a nice long night afterwards - plus it will also give you an idea of where you are up to in all of it.
It is always wake ups pre 6am that spur me into routine tweaking

.
Jacob was been ill with a winter vomiting bug so has been sleeping

. A 2 hr nap the other day followed by a 12 hr night. Lovely

. Obviously the previous night the poor guy had been up all night puking

. He is still tired as he recovers ATM.