Advice on "re-charging" donor area

I have had 4 strip surgeries. I’m looking to lower my hairline and build up my temples, using FUE. Also, I want to fill in my crown. I don’t have enough head donor for all of this.

I want to use head hair to build up the hairline, and beard and body and some head hair for the crown. Also, I probably want to “re-charge” my donor area with some beard hair, to allow maximum extraction of head hair, initially.

Here’s the dilemma: The doctors who I am thinking of for hairline/temple work are not the same for beard/crown work because the don’t do beard hair.

I don’t mind having two separate procedures, but am I losing an opportunity to “re-charge” the donor area simultaneously when the donor hair is extracted from the head, or should I do my head/temples and simply do the crown work and re-charge at a later date?

Any advice would be appreciated. Thanks.