I wouldn't try brown sugar in a Blonde Ale because of the color, but I suppose you're going for a bottle blonde.
I can't help with the honey - but that's already been answered.
You could use x oz. corn sugar, 0.8x oz. cane sugar, or ~1.3x oz DME (the actual amount would depend on the variety of DME used) to achieve the same carbonation rate.
For a blonde ale, I would go for 5 - 6 oz corn sugar (4 - 5 oz cane sugar, or about 6.5 - 8 oz DME) for a 5g batch.
These amounts will all be perfectly safe providing the beer has finished fermenting before you bottle. The gravity should be unchanged for at least 3 days, and should be less than 1.014. (I can't imagine a blonde ale having a FG higher than that.)
I've never seen corn sugar in a supermarket, but that doesn't mean that no supermarkets sell it.
Corn sugar will also carbonate faster than cane sugar or DME. (You may need to wait another 2 - 3 weeks for the latter two to complete.)