Besides Marriott Imperial Palms (very nice, recently refurbished pool area at the Marriott Orlando World Center on shared property) mentioned above, there are a few more timeshares in the area surrounding WDW offering 3BR or 4BR condos. None of these require driving on jammed I-4 or busy Rte 192 when going to/from the Disney parks.
Cypress Pointe Resort / Cypress Pointe Grandvillas. Lots of 3BRs (small, weird 3rd BR), a couple nice pools, plenty of resort activities. Very good location less than 2 miles from Disney Springs, via Hotel Plaza Blvd and S. Apopka Vineland.
Silver Lake Resort has some 3BR units, at least in the relatively newer "Points" section with 3BR lock-offs. Not sure how many. A couple nice pools, good resort activities. Nice location west in Kissimmee. The back entrance/exit for Silver Lake is on Sherberth Road, about a mile or two from Animal Kingdom park and Animal Kingdom Lodge.
Later corrected, so please see below:
Vacation Village (or VV at Parkway?) offers many 2BR units (correction, 1BR units) and most are paired, where you enter a locked exterior doorway into a shared foyer (usually with a washer-dryer), then enter another locked interior doorway to either side unit. So if you get both sides, you may leave the interior entry doors unlocked and use both sides together as a spacious 4BR (correction: 2BR lock-off or 3BR if you count the smaller side's LR as a BR) with 2 kitchens and 2 bathrooms. Good location a couple miles east of WDW in Kissimmee, between Gaylord Palms and Celebration. Highrise buildings surround multiple pool areas and while there's lots of concrete, there are also nice walking paths and plenty of recreational facilities.
A bit further west in Kissimmee (driving on Rte 192) is Star Island. Plenty of 3BR lock-offs there, a couple nice pools, plenty of recreational facilities. If you want to be close to all the restaurants of Rte 192, and don't care so much about the traffic, this could be another option. HTH.