Another option is to go to a bra you have to begin with and go to the "Explore by measurements" option. That will have a few options to search for bras changing their characteristics:
It completely varies by size - and honestly, the only bra you have listed does not look like it fits you (aside from the poking). You might want to do a fit request ,so we can see your measurements compared to your bra. The shapes of wires vary so much by size . . there is no way to just recommend a short, narrow wire . .. for example, Marcie is narrow in some sizes and wide in others. Some people with very short roots end up looking at demicups, but if you are in the completely wrong size, you might be able to do better than that.
Narrower and shorter than what?
I recommend that you do a search by measurements, for a bra as narrow as you need:
http://www.bratabase.com/search/advanced/
Another option is to go to a bra you have to begin with and go to the "Explore by measurements" option. That will have a few options to search for bras changing their characteristics:
http://www.bratabase.com/browse/olga/on-your-side-35056/36DDD/explore/?bust_perimeter_step=0&band_length_step=0&stretched_band_length_step=0&cup_depth_step=0&cup_width_step=-2&wire_length_step=0
It completely varies by size - and honestly, the only bra you have listed does not look like it fits you (aside from the poking). You might want to do a fit request ,so we can see your measurements compared to your bra. The shapes of wires vary so much by size . . there is no way to just recommend a short, narrow wire . .. for example, Marcie is narrow in some sizes and wide in others. Some people with very short roots end up looking at demicups, but if you are in the completely wrong size, you might be able to do better than that.