An easy way to get more even cooking is to stop cooking just before the edges get done - turn off the power and leave it in the oven to cook in the residual heat. The heat on the outside is gentler, less direct, and it takes longer so there's more time for the temperature to even out in the middle.
Depending on how long you leave it in there and perhaps the ratio of pizza size to oven size, it can get quite well browned and well cooked in the extra time. For really thin precooked pizzas (ie, tortilla pizzas) I could cook two and sometimes three in the time between turning the oven off, and it cooling to a temp too low to cook with. With a thicker pizza, it can go from pale and watery to deeply browned and dry around the edges. This was with a small baking stone, but also a tiny oven - so be aware that some parameters may vary, and just keep an eye on it.
As a disclaimer, part of this may depend on what kind of pizza you like, how you like it cooked, etc. I use it for when my pizzas are a bit thicker in crust if the center isn't browning enough or looks soggy but the crust is done/almost done, or when I've really thin pizzas that cook fast enough it's not worth it to keep the oven heating the whole time. Then again, I've a lot of tolerance for variation, and I do know some people would not find it an acceptable cooking method... all I can suggest it try it and see.
Other options may include par-baking the crust, or just settling for lower temps & longer cooking times to begin with (which is a pretty standard thing to try when dealing with outside overcooking/inside underbaking). It is likely to change the results at least a bit, how the crust cooks, its taste and texture...but it my not be a difference you mind. The best way to make pizza is the way that makes one you enjoy eating, so don't be afraid to tweak at the instructions if you don't like something about the result you're getting.
I also find a baking stone or baking tile really useful - mine lives in my oven full time - but it isn't necessary if you aren't sure enough to invest in one.