Couple of issues here. Normally our goal as tv music creators is to provide music that stays out of the way of dialogue. There are always exceptions, plenty of examples in every genre. But the busier the music is, the less likely it will be used. Have you heard Satriani-esque stuff on television? If show, think about how it was used. Better yet, go to the end credits for that show and find out where they got the music ("music provided by" is usually in the credits, somewhere after the gaffer and key grips).

Then, find that library's web site and search their catalog to find and listen to examples in that genre. Analyze those tracks for form, instrumentation, etc. Then maybe search other library catalogs and see what they have. If you learn that there is not a lot of Satriani out there, you might consider a different style (assuming you are doing this for tv sync revenue and not just for your own artistic enjoyment).
Re: your track, the bass tone bothered me, it is very bright, sounds like an FM synthesizer. I think it distracts from the lead instrument. You might also consider dropping it down an octave, and taking off some of the high EQ. It is loud compared to the guitar, which should be the primary focus of a track like this. The mix could use some work as well, some compression, some reverb, some panning to spread things out. The ending is a little off as well, the guitar is playing a strong triplet feel but the drummer doesn't care and continues with 8th notes.

Fun track, a good start to build upon.