it might be ok,, but when the game refreshes ur stuff might refresh 2 with it.
buy ur own house is the easiest option or use the steed stone just outside solitude as this gives u an extra 100 in weight.
be patient a good weight allowance will come. im over 100hrs at present and with the steed stone iv got 580 weight i have several pieces of apperal that also increase my weight
so get a house to keep ur loot stash high untill you power up enough to constantly loot and not worry bout picking up dragon bones
And,if i'm not correct there's a Dragon priest mask that increase your weight in around 50-100.So you will carry like 650 weight.Also ther's a Pickpocket skill that increases your carryweight in 100.If you have maximized the Enchat tree,you can carry around 1000 caryweight LOL.