I did that. Hit the Dalek stories first then the Master stories then the multi doctor stories and then... Went back to the beginning and worked my way down the list numerically like I should have all along.
Time and money means that you want to listen to the obvious A-list stories first, but it's going to get to a point where you don't want to pay from the final dribble of d-listers except that you're tweaking for more.
As a child you ate your chicken drumsticks first, then your mashed potatoes, but your mummy and daddy wouldn't let you leave the table to watch the new episode of Chips until you finished the Mountain of Broccoli and Brussels sprouts still left on the plate.
As an adult you use the meat and potatoes to mask the foul taste of that green shit.