As I said, the click is a physical click from the microphone, it is impossible to record them without that sound, as that sound is the recording being stopped.
As for the male recordings, again this is one for the creators, but how will exactly the same recording in a male voice help you? Unless you plan on imitating someones voice. The only way you will develop male speech patterns is if you primarily hang out with men. Do you have Japanese male friends that you regulalry socialize with? This will help you much more than a male voice on BP will.
These recordings are just my partner, and we are doing it free of charge, finding a male voice actor and having them record thousands of sentences would cost a small fortune (I would assume). What you are asking for would be great, but from a grammar perspective it isn’t useful, watching tv in Japanese or watching netflix in Japanese will be. It sounds like you need to watch something like Terrace House etc which has everyday speech.
(edit)- please do not take this as me being rude. I see where you are coming from 100%. It’s just that since living in Japan I have met countless people that say they have been studying Japanese for years and years and always think there is a special something that will give them the edge they need to finally break through barriers. My friend, you are the edge you need. If you truly wish to sound more masculine I can send you list of Japanese male youtubers that will help you, just swing me a message.