Dry hopping will provide nothing to balance. Balance is purely hops bitterness vs. malt sweetness. A Scotch Ale or Wee Heavy should have the teeter-totter firmly on the "malt sweetness" side of balanced, though as others have noted it's your beer; go nuts if you want.
Dry-hopping will, contrary to David's statements, provide a surfeit of flavor and aroma regardless of whether or not late boil additions are made. I don't know where that came from, David; is that your personal experience derived from comparison or from some other source?
Bierhaus: While that's true for 19th-century Scottish Ales - and ask anyone, I'm a complete sucker for historical brewing data - it's not true of today's Scottish ales, and those are the beers upon which the stylesheets are based. If we were brewing beers to an 1851 - or even 1900 - standard, you'd have a point. Unfortunately, within the confines of modern style discussion, you don't. Thanks for reminding me about his blog, though; I shall probably spend ...er, waste... the rest of the morning reading back posts.
To the style nay-sayers: If you're going to bitch about "'to style' talk", kindly realize that when someone asks a question in relation to a beer which is specifically referred to by style, some of us might, oh, I dunno, think the questioner was asking within the confines of that style
. Please refrain from taking us to task for advising someone not to dry-hop a Wee Heavy when someone asks if such a practice is appropriate - or even if they don't. It's my right to opine that hops character has no place in Wee Heavy, ever (just like smoke/peat, but that's a whole 'nuther flame war).
I'm really getting sick of being made fun of or bitched at/about for helping people adhere to styles. For the umpteenth time, styles do not exist to restrict the brewer. They exist to assist the drinker
. If you hand me a bottle and say it's Wee Heavy, I don't expect hops character. If you do
hand me a bottle of dry-hopped Wee Heavy and don't give me any information other than the style, don't expect me to thank you; you're not doing me any favors by calling it by the style name. You're just confusing me and my enjoyment of your beer.
I'm not telling anyone they have
to brew to style. I'm telling people that should they choose to diverge from style to refrain from calling the beer that style, to avoid confusion.
To the OP: If you must dry-hop, choose Goldings. The soft herbal character of that variety are best in this idiom. Fuggles will work, but IMO not as well.