I assume "the right equipment" is "an oven", and "Cookie Dough That Won't Kill You" is usually referred to as just "cookies"? ;-)

You can microwave flour to make it safe without actually cooking it.

Don't know about eggs, but some recipe sites claim it works for them too.

microwaves cook eggs, throw some scrambled eggs in a glass and into the microwave you get a very smooth scrambled egg. Unpleasant generally but a lot of coffeeshops do this for breakfast sandwiches.

Perhaps on a low setting?

You can pasteurise eggs with a basic sous vide setup. Take any of those home sous vide circulators, set it to 140 F, and once it's up to temperature put the eggs in for 4 minutes...