Since pros have been miking hissy, noisy
tube amps with buzzy, noisy single coil guitars for decades, I don't think the D/A and A/D conversion is the issue here. Any modern D/A is WAY above the modest needs of a lo-fi source like
electric guitar. Like the pros have done, gate that puppy if you need to.
Feel free to try other modelers too, but at high gain, you *are* going to have noise.