Um, I get the feeling you're misunderstanding a few things about recording in general and digital recording in particular.
Typical digital recording is sampled at rates between 44.1kHz and 192kHz, and none of that will impact the low frequency cutoff. Going higher will either capture frequencies far above what a human can hear (which actually causes problems with reproduction), or just make the files much bigger than they need to be.
If a device has a high pass filter as a feature, it's almost certainly switchable. You can simply turn it off.
If what you hear when playing back your recording doesn't sound right to you, it could be your monitors or it could be something about how you're recording. You need to verify that your monitoring setup is accurate before you use it to judge your recording process. Once you can confirm that you are hearing things accurately, then we can start to address the recording process. What does other music sound like on your system?