Jeko,
I checked into that for you here's what you do to get a 10 Day Free Trial for LotRO

Download the Low Res Trial Version Client Here:
Item Detail

Then call Turbine customer support:
1) Call: 781-407-4020 between the hours of 12pm to 9pm EST.
2) When asked about what kind of support select: Account Management
3) When asked about what game select Lord of the Rings Online
4) When the person on the phone answers, they ask you for your first and last name, give it to them.
5) When they ask you for the account name say: "I don't have an account, I was told if I call this number you would give me a buddy key".

They will tell you to hold for a minute, but when they come back they will ask you if you want it emailed or if you want it written down (25 chars long). There you go! Enjoy the Trial