Well, why not just try a lower tension string? There isn't really any adjustment you can make to the bass that will change the actual tension of the strings.
For example, Helicores come in three gauges; you could use medium or heavy on the lower strings and light on top...
Or, you could use the 'A' string from a solo set; that should have even less tension.
The problem is most likely that the shape of the bridge and/or fingerboard is making the G higher than the other strings, so it just feels tighter. Of course the only way to fix that is to spend some $$$ on a setup and probably new parts too.
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