Polo is fine but baggy when tucked in

(I wear polos to work)
Untucked polo is fine, could be a bit slimmer in the waist. Chest is perfect.
When I tuck it in for work though, the back of the polo is spoofy. I tried the "military tuck" but it doesn't help. There's also shirt stays which I can give a try too.
I was wondering if I could bring it to a tailor and ask for darts, but have the darts as close as possible to the side seam.
Usually if the shirt is really baggy I take in the sides which takes in both front and back, but I think the problem here is excess fabric in the lower back area more than anything else.
I do have a sewing machine and know very basic tailoring -- whenever I try to take in the sides for the waist only it always makes the chest smaller a little bit. I guess the slimmer waist "drags" down the fabric normally around the chest area making it tighter.
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