Will La Bella Low Tension Flats work on the thru-body Squier Paranormal Rascal Bass? In particular, is the ball end of the string flexible enough to get up and over the bridge? (I know the Deep Talkin Flats for the older Mustang bass will work.) Thanks.
If you are not adverse to using Thomann, they've several basses that meet your price requirements.
https://www.thomann.de/gb/4_string_semiacoustic_basses.html?ls=25&pg=1
https://www.thomann.de/gb/4_string_semiacoustic_basses.html?ls=25&pg=2
The other thing I would add is, if push comes to shove and you can't find what's bedeviling you, take the whole harness and pickups out of the bass and troubleshoot then. Much easier (at least for me).