I had the same issue with GHS Boomers three decades ago. At every two-fer weekend (both Fri & Sat gigs) I would have to change at least the E string between gigs, if not the entire set. It is what made me change to Progressives: with my hand perspiration pH, the Progressives being a solid alloy reacted less although I would still have to change the E string for a two-fer weekend.
Ironically, I currently play D'Addario XL, but for some reason they interact less, even though both Boomers and XL's are nickel plated round wounds. I still have extra E strings, and now B strings for my 5-string bass, but I don't need them as much as I used to.
I've done the stainless rounds. Yes, very bright to start. But again, for me, they never mellowed progressively. I would do a gig and then the next rehearsal, clank-thud.
I've done about all the stainless strings out there, ancient and modern. For me, the ones that may not have the brightest initial zing, but retain the top end longer, and have good mids to cut the mix, are GHS Super Steels. Also, one lighter gauge will be more flexible and retain top end longer than a medium or even medium light gauge set.
Sometimes, no matter what the strings on the bass are, they just all go after awhile. Hang in there!