My oldest was like this and still is--goes hard all day and passes out at night. BUT! Babies do need naps.
In my case, I think I was waiting too long. They have to learn how to go to sleep--it's skill and it takes concentration. If they're overtired, it will be harder. I kept thinking, "Oh, she's not tired--she wants to play." because she would respond to rattles and such. Well, I think I need to put her down BEFORE she got tired.
I think the other mom's advice about rolling off the big bed is a great idea--until she can move, lol! I would also try a sling.
I know they're getting some bad press lately, but that's because people use the wrong kinds the wrong way. I would recommend a wrap to let her nap on you--www.thebabywearer.com has great advice. If you can find someone near you who can help you, that'd be great or PM me.
You may find that if you "wear" her when she's awake, she'll be more secure and go down to sleep more easily. I don't know if it's personality or the slings, but I wore my second child and he's a champion sleeper!
Good luck!