I'm the same and you'll probably find many bass players who double on guitar to have similar conclusions, and for a lot of the same reasons as laid out in this thread.
One thing to try, since you're a guitarist too, is an A/B/Y pedal to split your signal chain into two amps, one colored, and one straight bass. I've got an amp that will biamp as well, but the split chain works for most signal chains. This lets you have a straight bass signal, in my case, mostly treble and upper mids rolled down, and then an effected signal into another amp. This reopened my mind quite a bit to new possibilities.

I don't use this setup in my cover band, where I'm aiming more for tones that match the original songs, but it's great for my originals bands where I can open up and do whatever.