The TPS II is mostly a transistor preamp. The tube in there is only one part of the device and isn't doing the real work of loading the mic or even doing much of the actual boosting of gain.
If you want deep and dark that's as much about the source and how you mic it but if you want gear that helps that along a bit I'd say that tends to be preamps with good transformers, dynamic mics, ribbon mics, and condenser mics with transformer output.
In the land of budget gear I think you would do better getting an ART MPA. Somehow that preamp although built mostly like your TPS II manages to sound a bit like they have some transformers in there even though they don't especially using the right mics and loading them heavily. The MPA is going to give you more "warmth" than putting expensive NOS tubes in your TPS for a similar price.
Dark with bite or warm and clear is the big ask in the land of recording. Generally gearwise you are talking about the more expensive preamps coupled with nice compression dialed in properly (probably with more transformers) along with a wonderful source in a room that isn't going to muck that all up.
I'd skip chasing the paper tiger
thinking you can make your TPS into something wonderful by simply locating the right magic glass bottle and instead consider what mics you are using, how they are loaded, and maybe getting a solid quality micpre that has some real character.