Believe it or not, I had a similar thing happen to me, back in early 2004 with a trademarked name... I ended up getting an offer from 'Frito Lay / Pepsi Cola of America' where they paid me for the domain name, which technically included their product name, yet I also had a legitimate pornographic use for...
I really cant be anymore specific regarding what happened to me, but I will say that I was MORE THAN HAPPY to accept the GENEROUS offer they made me, for the domain name... Now, I have said more than I should already... So enough about me.... Lets talk about you...
What I would do, is to find a female, who is legally called 'Pepsi' (FROM BIRTH... NOT VIA A LEGAL NAME CHANGE)
Then set up a site, well no. Actually set up a single page, with a dirty photo of her, & lots of juicy XXX rated text, where 'she' offers to have sex with anyone who emails her... She doesn't have to be hot... Her age isn't important (Aside from being over 18)
The page doesn't even need to be promoted at all... Just existing is enough.
Then, grass yourself up to Pepsi...Say I was surfing online for their fine product, and were shocked to find such a disgusting site using their product name... Say you had a child with you sat at the PC... whatever... Just kick up a huge fucking stink...
Wait a while and you'll get a firm letter from Frito lay inc, telling you to sign over the name to them, to avoid legal action...
Reply and say, NO WAY... The girls name is Pepsi, she wants to fuck people... Free speech and all that... We dont mention a sticky brown sweet soda on the site, nor we use your graphics or anything else that references your product... Its her LEGAL NAME... Now GO FUCK YOURSELF....
Wait a while, and you'll find that another letter arrives with a hey, look, we dont need this site online... Will you accept this offer?
Now, if you say NO and push for more, your in trouble... BUT say yes... And your laughing
Now Im NOT saying this will work for you... But I know that a similar thing worked for me! Nuff said