Yes of course I meant a linear wall wart, digital roar from an smps is going to drown your signals.
There isnt a precision way to really get an oven ready signal, I look at the control voltage on mine, I can tell when its all warmed up & ready to go.
If your not using a micro you could detect missing 1pps pulses using a 555, and another can flash the led, though this does kinda call for a micro doesnt it, then your into digital algorithms and everything goes really complicated.
I think an analogue Pll is really hard to beat for synchronizing a Pll, even with really noisy signals, you can improve on this with even an arduino but you'd be in for a lot of headache.
The Z box diver sent me is still working well, the 10mc o/p reports acuracy of a few nS.