Sure! This is what I do:

I use Google Chrome. I first shop for whatever I'm looking for. One item in each tab if I'm looking for multiple items.

Then, I open an incognito window (which does not load any extension at all) and go to JetBlue, sign on, and then click through to Amazon where I sign on there as well. The visit is tracked via the clickthrough link, and maybe a cookie. The email addresses do not have to match, as mine do not.

I then tab back to the regular Chrome browsing session, and copy and paste the exact item title of the item I want, and paste in the Amazon search box on the incognito window. This will make it so that only the item you want will appear in the search results. I click the item, and add it to my cart. Repeat for any subsequent items.

This part is optional: I go to checkout, and add each item's prices to a spreadsheet, date of the order, expected number of points, and blank columns for ship date and expected posting dates.

I place the order, and that's it. I open the spreadsheet every now and then to update the ship dates, which when I add 30 days to it, gives me the expected points posting date. This way, if something does fail to post, I can give JetBlue this information (they probably have no way of looking it up though) and request the missing points. I haven't had to request missing points yet, because everything had posted on time for me. (knock on wood)