Perpignan lock Hines will miss the opening clash with a knee injury and leaves a side limited on try-scoring experience.
And only Simon Taylor, Jason White, Sean Lamont, Hugo Southwell and replacement Chris Paterson have ever scored tries on home soil since the championship changed its format in 2000.
But wing Webster reckons he is primed to bag his first score against defending champions Wales tomorrow (Sun).
Webster, 27, said: "I'm not happy with the number of tries we've scored in recent times. We know that tries win matches and we've got to improve.
"I've been happy with my form but I know there's so much more to come. I don't know what the problem is. The pitch is the same size, if not bigger for us at Murrayfield - so there's no excuses.
"We're capable of scoring tries. Our players have shown that in the Magners League and Heineken Cup but just not on the international stage."
Webster has scored just eight tries in 36 Tests but knows Scotland must find a clinical edge against Wales and IRB World Player of the Year Shane Williams.
He said: "Wales are the great entertainers and over the past couple of years with the success they have had they've shown they are a top team. But our concern is ourselves - we can't control what they will do.
"I'm a big fan of Shane and he was rightly voted as the best player in the world - he's the man to watch.
"It's because of players like Shane why so many people watch the game of rugby. It makes the game exciting and he makes the crowd get involved.
"We must defend in groups and deny him space because he can turn a game on its head. Shane's capable of anything and I just hope I'm not applauding him at Murrayfield."