For such light gauges you will probably have to put together a set of single strings. I can only think of one place and one brand with good selection of single, flatwound, SHORT scale strings at the gauges you need.
Tailored for short scale: buy Pyramid Flatwound single bass strings online – ideal for precise replacement, flexible setups, and smooth playability.
www.saitenmarkt.com
Saitenmarkt sell Pyramid Golds in gauges from .020 and upwards all the way to .120 (in .005 increments except the jump from .110 to .120)
For some reason .055 has ended up in the wrong place, between .110-.120 , but it's there.
But as always with short scale strings, measure from nut to ball end and make sure the winding length will fit your instruments. Pyramid Gold were originally designed for Höfners (with a tailpiece) so they have a slightly longer winding length than SOME short scale strings, but not quite as long as say TI Jazz Flats which are more like medium scale strings from most manufacturers.
Will it sound great? Certainly not with MY playing style. Those are FAR too light gauges for me. Anything lighter than 40-100 (flats) or 45-105 (rounds) is unplayable for me. But if you could make that ultra-light set of Rotos work on a short scale bass, I can't see any reason why flats of similar gauges shouldn't work too.
Btw, with flats on a short scale bass you should definitely be looking for short scale strings. With roundwounds you can get away with using long scale strings on short scale basses, but some types of flats (especially stiffer "old school" flats like these Pyramids) can unravel if you force the fully wound part of the string around the tuning post. The same goes for through-body stringing, which is not recommended for some types of flats, because of the increased break-angle over the saddles which can damage the strings.