I don't have any suggestions for search terms, but if you are looking for easy in one piece, the virus shawl is gorgeous, easy, one piece and can be made in one color or variegated . . . it's a triangle, but if you make it big enough you could probably use it as a lap blanket. Just an idea!
Okay - looked on ravelry and didn't see this pattern, but I also didn't look through ALL of the 67 pages of purse crochet patterns! Any way you can post a link to it? Or PM me if that's more acceptable? Thanks!