Yeah those should be the correct values. IDK the physical size, maybe 0805?? 5% or 1% tolerance is the most common, and on all sort's of stuff. Depending on the circuit, 2 10k's might be fine. You can probably find those on other old circuit boards, like if you had a TV or printer to scrap. Or even use through hole resistor's, just lay them flat on the PCB.
I'd like to know where those resistors go to, and why they burned out. It could be their power rating was a bit low and they burned out over time. But why did they go at about the same time. Did anything else fail?
I personally would map out some or all of the circuit, and after checking some stuff with a DMM, I might apply a low voltage DC as VCC to the control circuits. So there's nothing on the blanket plugged into AC, but then you might find if the chip and other stuff works ok.
Does it use a Triac type device to AC power some heater resistor, and control it with high-voltage opto-coupler's ? Or is there some inductor's and step-down switching type PSU, that power's the heater from lower voltage DC ??
The only similar thing's I've worked on are a hot-air soldering station, and a soldering iron. Both have Triac's in them, they are sort of like Silicon based relay's, for AC.