This would work. Many people switch to orals or short-estered AAS right before beginning PCT to keep the gains/etc. up while waiting for the long-estered gear to clear the system.
If you do a short cycle like this (three to four weeks) it would need to be based on short-estered gear like propionate or shorter. You are correct that low-doses of AAS help to maintain an anabolic state during dieting. The body becomes more sensitive to androgens while in a catabolic state such as dieting, so you likely wouldn't need as high of doses as you would for bulking.