Don't think that's in the cards. Few Tokyo hotels have suites like that and the ones that do tend to be at the high end where a suite is way more than $300.

You could consider a serviced apartment if your stay is going to be for a week or more. Oakwood in Azabu Juban is one good choice, but even there if they have it, a 2br could be more than Y33,000/night. However you do get a washer/dryer and the most compact kitchen you'll ever see!