Upvote:4
You should probably be fine, because US immigration rules are not generally aimed at restricting investment activities that are primarily conducted from abroad.
Applying for an ITIN itself should not be a problem for future US entry or US visa applications. You will have to provide your ITIN (US Taxpayer ID Number) on any future US visa application since it is a question on Form DS-160, so you should be prepared to answer questions about it. The main thing is to make sure you can still convincingly show that you are visiting the US as a temporary visitor without immigrant intent, and that your activities in the US are consistent with the B-1 temporary visitor status. From your comments, it sounds like you've already studied the rules about permissible activities.
Whether you are eligible for an ITIN depends on your tax situation. You should read the ITIN application (Form W-7) and its instructions. You may be eligible for an ITIN because you have a US-based LLC (see page 11, Exception 1(a) of the instructions).