Any 35 inch scale bass may work. Even then, unless you go to heavier strings, like a 50 on a G string, then it will get floppy. But unless you choose your strings carefully, the larger diameters for the E string will get thumpy. String scale, being logarithmic instead of linear, requires progressively more distance for the lower pitches For example, the equivalent tension of a 36-inch scale bass will get you the same feel as a 34 inch scale bass tuned down 1/2 step, not a whole step, so you have to equalize with the string diameter.
The Circle K company has sets of "balanced" strings of all gauges. I would suggest contacting them once you've figured out the bass you want, and tell them the scale length and the "feel" you want from the strings. They have multi-wrap low E strings that will avoid some of the thumpiness that conventional bass strings can have.