e 45-105 h
I have to agree. My 4HH Stingray Special wears flats - just like 20 of my 23 basses do. After listening to some "Stingray with flats", demos, I chose the strings that one guy liked best; the 45-105 Galli JF4505 Jazz Flats. I have to say; he was right. All the low end you could want, but plenty of low-mids, as well. They have good mids and highs for those harmonics, too. Plus, they are fairly flexible; they broke in quickly (for flats), and I didn't find them sticky at all. What I did find, is that they are as smooth and slick as wet ice. I don't use pedals/effects at all, but between the bass' pre-amp and the amp, I can make the bass sound like pretty much anything I'd want. You just might like them, too...
Well, as you can see from the above post, we are at different ends of the "how many Basses" spectrum, but... no worries; you do you. Again. I think you might like the Gallis - or any "Modern" sounding, midrange forward flats. I use all kinds of flats on all kinds of basses, and the "modern" flats are by far the most versatile of them all...