The first thing you need to know about planning a BW trip is that you'll need a permit to enter (specifically for you an overnight paddle permit). Permits are specific to the date and entry point (EP) and are limited in number. You are going at a busy time (holiday) and some date/entry point combinations are not available and it would be a waste of time to discuss or research them. So as GrandmaL suggested the first thing you need to do is pick an entry date and see what's available and what is isn't. Time is of the essence here at this late date. I did a quick search of available permits for July 1-4 and there are quite a few with no availability or very limited; availability is better on the eastern side - the Sawbill Trail and Gunflint Trail out of Grand Marais - than it is on the west out of Ely and the Echo Trail. Mudro for example has no availability for July 1, 2, 3.
The first thing we need is an entry date, then we can see what is available to you. Next you need to have some idea of how many days you want to travel and how far. For example you might want to travel 5 out of 7 days (1-2 weather/layover days are a good idea) and might figure you'll travel 10-12 miles a day, so a 50-60 mile route. If you plan to double portage rather than single portage, you'll need to add 2 more trips across each portage to the map mileage.
Since you would like a couple of long portages and don't seem as averse to the idea of portaging as many people, I'll make one suggestion now before more information is available: Enter at Missing Link, EP #51. You can do a couple of long portages and be on Tuscarora Lake. Or you can go from Missing Link to Snipe, then across to Tuscarora. You can go from Tuscarora to Little Saganaga, another really nice lake. You can look at this area on the
Voyageur Maps . When we have more specific information we can look at the options.