Gahh, i hate Square-1, i average sub minute, and i got a 36.xx single at my last competition.
I'm not sure if i know what elimescube teaches...
Does it involve...
Cube shape-> Orient corners -> Orient edges -> Permute corners -> Permute Edges?
If so, then learning more and more algs is the key.
If not, then perhaps getting used to the square-1's odd turning finger tricks?