我觉得在这种语境下，有三个动词是可以用的，而且它们的意思相同，它们是“拿、拎、提” 麻烦请你帮我拿/拎/提一下这个袋子？

如果你俩要一起去某个地方，还没走，正准备出发呢，这时你用“带”“提”“拎”“拿”都可以，后面加个“着”或“一下”也可以；如果你俩是偶然相遇，甚至彼此都不认识，你只是临时求他帮忙，然后就各干各的，并不打算下一步一起行动，你最好用“提”“拎”“拿”，不要用“带”。

“带” ， means help you to bring a bag to someplace or somebody(you are going with this person) "提" , means help you to carry the bag, ( you are together, you are tired or you have to answer a phone call)

“带” means "bring"; Could you please bring a bag for me? "提" means "carry", Could you please carry this bag for me? I think "提" is better in this sentence.

麻烦请你帮我提/拎一下这个袋子。