Ok this might not help at all, but I'm going to post it anyway, because I just can't help not giving advice to a legendary B&Ber like Scotto.
When I strop my straight I bend the scales a little back behind the razor (similar to the they are bent back when you shave). I find that this balances the weight of the blade and makes it easy to lay the blade flat on the strop. Although it will probably be really annoying on a paddle strop.
No, in all these things we are more than conquerors through him who loved us. For I am sure that neither death, nor life, nor angels, nor principalities, nor things present, nor things to come, not powers, nor height, nor depth, nor anything else in creation, will be able to separate us from the love of God in Christ Jesus our Lord - Romans 8:37-39