For 12V DC source and 100 Ohm resistor, the individual resistor will dissipate P=U*U/R=1.44 Watt.
If resistor is limited to 1W max, then it is better to run it at 25..50% of intended max power.
For this put 2 resistors in series: P=U*U/(R+R)=0.72W total with 0.36W per resistor.
To estimate needed total power (how many chains of 2 resistors to put in parallel) check the power limit of power supply, available space in blanket relative to size of parts, ignition point of thermal insulating material and small print in home insurance papers.
Anything thermally insulated, even at 0.36W can ignite, since resistor has no set limit of temperature even for power lower than max. The datasheet 1W value is for open air when mounted on board.
I'd replace resistors with PTC thermistors just to avoid fire hazard.
To get familiar with thermal power of resistive heating of known power try to turn on for 1 sec and turn off 7W hands solder gun pencil and estimate heat on touch. Ballpark of power to heat say 100cm^2 aluminum sheet (about same mass as recorder part may be) to point 10C higher than ambient could be single watts. like 1-2 watt.
The USSR MLT-1 resistor stands for metal film, conformant coating tolerant, thermally tolerant. It will smell burned paint when runs at 1W because by design it should be epoxy coated after assembly. The paint on it is not tolerant to oxygen and will carbonize in open air.