I don't think there are any practical plans for a manned Gas Giant tour.
Hundreds of Tons of Lead
Pioneer 10 spent about 2 days in the Jupiter system, and recorded about 250,000 rads of particle radiation in that time. Let's assert that this is typical of a Jupiter interaction. Let's further assert that the particle radiation is the only radiation we care about (ignoring that Jupiter is a Terra-watt strength X-ray source...)
Good News: blocking charged particles is easy! A thin sheet of metal will block nearly 100% of them!
Bad News: blocking charged particles produces gamma rays. For the sake of argument, we'll assert that 1 rad particle radiation is converted into 1 Rem high energy gamma 1 for 1, even though that's probably not strictly accurate.
250,000 Rem in 2 days converts to 45,625,000 Rem per year. OSHA limits rad workers to 5 Rem / year, so we need to knock down the radiation by ~10,000,000, or 7 orders of magnitude.
The tenth thickness of Lead for high energy gammas is between 2 and 4 inches. We'll call it 2 to be generous. We need 7*2 = 14 inches of lead to lower the Jupiter system radiation levels to a (still pretty high!) 5 Rem a year.
Covering a shipping contained sized 10x10x40 area with 14 inches of Lead is about 2,000 cubic feet of lead, which at 708 lbs per cubic foot is over 700 tons!
This ignores the actual complexities of atmospheric control, food, water, power generation (almost certainly a full up fission reactor) spare parts, etc. You aren't doing this mission in a shipping container sized area.
You can do some interesting things with stay times - most inanimate objects tolerate high energy gammas just fine, so parts of the ship that aren't visited often can be high radiation zones, as long as the sleeping and working quarters are well shielded. But you're still going to need 100s of tons of dedicated shielding, even if you are clever with your design.
A manned Gas Giant mission would be massive on a scale that we haven't even approached for space travel. The CSM and LEM combined for the Apollo missions were about 50 tons - an order of magnitude smaller than the shielding we're talking about.
Therefore, I don't see a manned Jupiter mission happening in the next 50 years.