I'm so truly sorry for your loss, and the heartbreak you are experiencing. My completely wonderful dad passed away on 28th July and so I understand the rawness of all your emotions.
My dad was also at home when he passed, we were holding his hands and talking to him. I also was with him after and noticed him starting to go cold. For this reason I chose not to touch him when we went to see him in the chapel of rest.
But he looked peaceful - not in pain anymore. At rest, I suppose. My mum commented that it was the first time she'd understood why people say 'rest in peace', because that's how my dad looked.
I kept thinking I could see him breathing, which felt a bit unnerving. But it was nice to see him, dressed nicely, more like 'dad' than he had been in the last few hours before he died, and immediately after.
There was no music, and it didn't actually feel too cold. Although I was nervous, so may have been feeling hot! He was in his coffin, on a sort of stand, already in the room when we came in. There were seats and we could see him when we sat down.
I'm really, really pleased I went - I didn't find it frightening although it was extremely sad. My sister didn't want to come, and she is equally pleased with her decision. It's such a deeply personal thing, but if you know you want to go then I hope that you find comfort in it.
Wishing you strength at this difficult time OP 