Two suggestions come to mind. 😀
Open a second window in your browser. (Under File, New Window or New Tab.) Then use that window to open and use Photobucket and leave the TBM window open. You can go back and forth between the two to select the images for your post.
Second option, open a word processing document and paste the IMG tags there. Then you can copy all the lines of code at one time and paste them into your post.
I hope this help. If you have any more questions, please feel free to post them.