Chromes too thick for MIA J V

[dtsamples]

I bought a set of chromes for my MIA J. I like their sound, but I darn near couldn't get them through the dingy-dang bridge. I cut a ton of silk off the B, but still just barely managed to fit it through. Is there a set of flatwounds that isn't wound with so much silk? I'd love to get something I could string through the body, but these weren't even coming close. Maybe a set with a tapered B? I'd assume they'd have to be extra long to string through the body (I wouldn't string the B through; I'd top-load that one). I'd really rather not have to replace the bridge just to accommodate the strings.

Has anyone else noticed this with the 2008 and later American standards?

Sorry if this question has been answered. Searching for this info in the threads seemed rather daunting at 11:30 pm

[FunkMetalBass]

Drill the hole out a bit wider. The ball-end should still be wide enough to hold it into place with no problems.

[BassBob1]

I have an 08 american standard 4 string jazz. I also use chromes. I tried stringing it thru-body but prefer the sound top loaded. I haven't owned a 5 string in some time but i do remember D'addario's B strings being pretty thick at the ball end. Even the Chomes going in on my jazz are a little tight but not a problem. I don't know if anyone makes a set of tapered flat-wounds.