The lowest tension solo strings you can get are a gut set or Tempera (if available as a solo set) or other Genssler strings (2011 Sonores Solo or Drago Sonores Solo or Red Label Solo).
The tension of Jargar Dolce string at solo pitch is too high for your taste.
Other strings from Super Sensitive were discontinued (and I‘m not sure a solo set of them was available).
But I think the Braided Solos might be worth a try. Even though you might not find tension data, you can ask for it.
I was told that GHS has equipment for measuring the tension of DB strings.
Since you only need approximate data, they should be able to tell you.
The aluminium A is a good hint that the tension would not be high, and the stretching of the core should be close to the stretch of a gut string.
The only thing that may happen is a larger difference in tension between high A and E than between the lower strings.
A bumped set reduces tension drastically. And the reduced availability of high C strings reduces your options.
I don‘t like to go less than 20 kp which is a typical slap string tension. Better around 24 to 30 kp (lower strings).
I typically prefer 27 to 31 kp on my 110 cm scale. Lower range for steel core upper range for synthetic core. But I only play orchestral tuning.
And I found out that the tension of high C strings often don‘t fit the tension of the strings below. One more reason against a bumped set.
I‘m afraid not many may be able to help you.
If you are willing to accept a steel core, my idea would be Corelli 360M (26-27 kp @108cm), but Corelli strings are very thin and can cut into your flesh with a bit higher string action.
I still think that Obligato Solo E to F# with a fifth tuning Obligato A should be similar in tension to your orchestral Obligato set. What‘s the problem? Availability?
It’s almost always the problem that solo strings need to be ordered from the manufacturer by most retailers.
Genssler strings might have a long waiting time and can be rather expensive.
Compas 180 Solo might have been an option if they were still available, but since they are not and were originally developed by Gerold Genssler, the Genssler Red Label Solo might be a similar but enhanced set. (And they are a bit cheaper than the other gut core Genssler strings.)
You need to decide if the strings are available quick enough and how much they are allowed to bite in your wallet.
Only you can decide that.