is completely a function of the screen size that you desire.
Now, just because any projector DOES fit at 10 ft, with your desired size, it may or may not be ideal, because PJs tend to lose brightess at any extreme of their zoom or shift. AFAIK. I just got my first PJ this year.
Then again, when the PK is close, and the screen is small, then the need for brightness is not as great, unless you have poor light control.
So, in the end, ANY projector works from 10'. Just hope the image is not too small I suppose for you. My bet is that it will work fine. When you research any specific model, owners, or even vendors, can help you.
Find that out, get PJ before screen. Throw up the pic, and really mull it over on the size.
Just curious if anyone knows what's the smallest amount of distance you can have and still go with a projector? I've got about 10 ft from the wall the image would be on, so I was planning to go with a plasma, but I'd rather have a projector (incase I move and have more room).