Why do you keep using the phrase "close to infinity" as if it has any meaning at all? At what point exactly does one reach "close to infinity"?
Again this is part of special relativity, the thing you're using to explain what is happening.
Briefly:
In order to reach the speed of light your mass would be infinite.
In order to experience length contraction (the reason you give for not reaching the speed of light) you have to be travelling at 99.9999999% of the speed of light.
Therefore your mass is getting close to infinite.
If it's just the concept of infinity you don't like, I can explain things in a simpler way for you.
You're trying to argue that there is more mass in the palm of your hand than there is in a black hole.
Sounds crazy, I know.
I understand the concept of infinity well enough to know that it is impossible to ever reach it, therefore it is impossible to ever get close to it. Sounds crazy, I know , but if you really put some thought into that you might grasp it. It is an extremely simple concept.
So you don't understand special relativity, that's ok and honestly it's what I expected.
That's why I dumbed it down for you but for some reason you don't want to talk about it, I wonder what that reason might be.
Maybe you just like the idea of the palm of your hand having more mass than a black hole. I'm sure you don't have any proof of that but I doubt that bothers you, you strike me as someone that doesn't need proof for what they believe.
So are you going to back up what you believe or just dodge again?
Bear in mind I'm predicting dodge.