Not an easy question.
In my experience and for my taste and with my application of gut strings (early music), gut strings work best with a bow that can easily leave the string. That doesn't mean, the bow has to be light. Bows that sit very firmly and evenly on the string can potentially dampen or crush gut strings, while bows that have a lighter contact, bows that grab the string and then let go, potentially get more resonance and clearer, more varied articulation from gut strings.
There are light, modern bows that can work, quite heavy Dragonetti style bows, baroque bows.
Same criteria go for rosin. Grabby attack, then open and resonant. I like Leatherwood. Pops for example has a grabby attack but then tends to keep on sticking, which can sound noisy and muffled on gut strings, while not letting the string ring in a nice and open way.
If you need a modern (post 1900) bow, that works with great with gut strings, I would look for a bow that has a straighter stick or less camber than usually and not too heavy. So kinda the opposite of a typical soloistic bow. These can be found cheaply, quite often.