Here's some more of what you are not exactly looking for. A great Radha bhajan by members of the Sri Nimbarka Sampradaya..
http://www.youtube.com/watch?v=S7HKj0MlZWY
Members of same sampradaya chant the Yugal Mantra;
Radhe Krishna Radhe Krishna Krishna Krishna Radhe Radhe
Radhe Shyam Radhe Shyam Shyam Shyam Radhe Radhe!!
Other than that there is the mula mantra used in arcana and puspanjali;
srim ram radhikayai svaha. However I don't believe that is used as a japa mantra (I could be wrong).
There is also a Radha gayatri mantra. But like many mantras it should likely be taken from a gualified guru in order to be effective.
You may be better off chanting Radha slokas for the time being, such as this one..
tapta-kāńcana-gaurāńgi
rādhe vṛndāvaneśvari
vṛṣabhānu-sute devī
praṇamāmi hari-priye
O Gaurangi! Whose complexion is like molten gold! O Radhe! Queen of Vrindavana! O daughter of Vrasabhanu Maharaja! O Devi! O dearmost of Hari! I offer my salutations unto you again and again!
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