I have three questions regarding double bass high C strings:
1) What are the options for C strings? Which brands are good? Either steel or hybrid or others. Will mainly use it for bowing.
2) Are there also C strings for solo tuning (so C string tuned to D)?
3) Can the increased tension of a C string tuned to D do any harm if a non solo string is used?
It would be helpful if you tell us which kind of strings you like and what scale and action height you use.
Almost all high C strings come only in a medium tension version (which might be more or less tension absolutely), the exception is Thomastik Spirocore Weich (not in the catalogue) and Velvet Compas 180 (Solo = high D in medium tension). Unfortunately the manufacturing quality of the Compas high C and high D is bad and Compas 180 is a bit tricky to bow.
Often the regular high C strings don't fit well to the normal set (tension higher of lower than the rest of the set).
Personally I don't like sets where the E has less tension than the G (most Corelli sets except the F). In these sets the high C often has more tension than the G.
I also don't like the thin steel core strings because of the less stretchy core and little area on your finger that needs to take the pressure.
If you want some recommendations for an up to 105 cm scale here are some:
1. Spirocore Weich 3/4 with Spirocore Weich high C (custom string available by direct order from Thomastik)
2. Evah Pirazzi Weich with Efrano high C (naked gut)
3. Innovation Braided with a new chromesteel wound high C (directly from innovation, prototype string, get in contact with me to get the right one)
4. Spirocore Mittel 3/4 with Obligato high C
5. Spirocore Mittel 3/4 with Spirocore Mittel 3/4 high C
6. Spirocore Mittel 4/4 with Spirocore Mittel 4/4 high C (for a bit lower tension with the Mittel sound)
Obligato and Efrano high C don't fit well to the normal set. Efrano high C might work with a heavy Efrano set directly available from the German manufacturer.
D'Addario I'd planning to make high C strings for all of it's sets, but that might take several years. A Zyex high C might be interesting.
You can get any naked gut tension directly from gut string manufacturers on request, so this is the easiest way (or try Efrano heavy), the problem with high C strings is, that only a few will be sold, so not many prototypes will be checked out and also the possible variations on material and weight are rather few compared to the lower strings.
The thicker the string the less pizz sustain you get in higher positions. This is not a problem with bowing, it even might help for bowing up there. The thinner a string, the weaker it sounds in the lower positions (just my experience, there might be exceptions). The less tension a string has the easier it is to press down and the higher theft the action might get. The less stretchy a string is the harder it is to press down in higher action and positions, but very stretchy strings have a dynamic limit, where you cannot get louder even if you put more energy into the string (at least with pizz). With lower action which is often needed for steel core strings, often a fingerboard dressing is needed to avoid buzzing and even then the string is hard to grab in pizz and might sound weak.
My personal options might be less than yours since I need a high C for a 110 cm scale for jazz pizz and bowing. But I don't need to go to the end of the fingerboard most of the time (which means almost never). For me the Braided together with some of the new Innovation prototypes work fine. But without the prototypes I would be happy with the Braided and a chromesteel wound prototype high C from Innovation. But if you can handle the different bowing of the metal wound Evah Weich set and god naked gut Efrano high C or get the Efrano heavy strings with the only high C regularly available this might work well.
Maybe I should publish my high C string tension measurements (I currently don't give away the measurements of my sets, because I want to collect as many strings for measurement in Germany first to get more data).
BTW, tuning a high C string a whole tone higher is not a good idea. Tension will raise about 16 to 17% for this interval. It might be an option for low tension high C strings (like the SuperSensitive Sensicore), but you risk breaking the string. I once tried to tune a Sensicore high C string higher because it sounded so weak, it still sounded weak and broke shortly before I reached the high F (a perfect fourth higher). An Obligato high C broke because of the too narrow slot in the nut. A SuperSensitive Supreme (no longer available, but nice soft bowed sound) after two years in the drawer and tuning it on a 110 cm scale to pitch.
I still haven't found the best set for me, but the Innovation prototypes being close. But development needs time at Innovation and currently I'm a bit busy to contact them again.
I stopped buying more high C strings after I found steel core is not what I want for a high C on my longer scale instrument.