I think you might be (understandably) over-thinking it all a bit.
This is presumably your first birth and you read and hear all sorts and get yourself worked up into a frenzy.
My advice would be to firstly TALK to your DH!!!!! He might be absolutely fine with you not wanting him there for the birth and then you've not got a problem.
If he DOES want to be there for the birth of his child then I personally think it's quite selfish to deny him that. It's his baby too.
Just as a bit of an insight though .....
I've given birth twice. Both times stayed at home as long as I possibly could - so you could take yourself off by yourself for the long haul part. Both births very, very different.
I wasn't naked in either (in fact with my 2nd I was stood at the side of the bed with a big baggy T-shirt on and nothing on show!) I wasn't sick. I didn't poo. I didn't scream. Either time.
My first birth was largely straightforward until the end when all hell broke loose and at that point, I couldn't give a shit that the room was full of people and desperately trying to ensure my baby came out unscathed. They could have chopped my leg off and I would have agreed to it.
With my first, I remember swearing at DH to stop sponging my head and then again for not telling me when a contraction was coming! It's not so much that they can help but it's having the father of your child and presumably the person that you made the baby with being there.
I stayed at home with my 2nd until I was 9cm and so you can have as much or as little contact as possible.
But I couldn't dream of not allowing my husband to see his children enter the world 🤷🏻♀️
Oh and my DH didn't go down the business end, I don't think??? To be honest, you're generally so incredibly immersed in the whole process that it won't even be an issue. IMO.
So I would suggest you talk it through with your DH. Gauge his feelings on it. And keep an open mind.
Oh and I went in with my first with this beautifully thought out birthing plan where I wanted soft music, low lights blah blah blah ........ that lasted for about 10 hours until the whole resuscitation team flew in!
I didn't bother with a birth plan for my 2nd!
So basically, you can do the long haul part of labour on your own, or how you want but I really think it's a bit selfish to deny your DH being there for the birth of their child too, unless he's happy with that.
Good luck.