DAW/interface sound out of amp?

Hello. My bass guitar sounds better when I'm playing in a DAW via an audio interface. This has been my experience with multiple DAW's and multiple Audio interfaces. The tone is clearer and more defined. When I'm not recording, all I'm using is a fretless ibanez and a fender rumble 40. My tone with this setup is a lot "duller/muddy" compared to the clarity I get when I'm just using the interface. How can I recreate the clear tone of the interface without using it or a DAW? Should I look at preamps or DI pedals? Thanks in advance.