Is it possible to adapt an ASIC miner to this program as a coprocessor because it has higher speed?
No, its no possible to use them.
Or perhaps use MicroRNG is a hardware (true) random number generator?
In linux it use urandom to get random numbers, i did some test before and the performance is almost the same, there is not much advantage to use the CPU RNG to do that, even the libssl RNG is faster than it.
If the OS have enough entropy even 256 bits of good entropy is enough to generate Random numbers for an eternity see :
https://www.2uo.de/myths-about-urandom/