Arco is a skill worth having. Lots of folks here and elsewhere may give a variety of reasons for it, like better intonation practice, etc. (and I don't disagree with most of them) -- but, bottom line, I just think it's a good ability to have, as it makes you a more "complete" player.
Innovation Rockabilly strings can be a little difficult to bow, but not because of their core (many "orchestral" strings have nylon cores) but the outer surface - the nylon is smooth and tough for the bow hair to grab.
You may have to experiment with a few rosin choices to find one that will work with those strings.
Now, take this with a grain of salt, because a customer told me this but I never tried it (and it's unconventional). He had some Innovation strings and needed to occasionally bow; he said he took a couple of small pieces of scotch tape and ringed them around the strings where the bow contacts them - and the rosin "grabs" the tape and allows him to bow. Again, all disclaimers apply, YMMV, etc. - as I laughed when he told me that one! But he swears by it...