BDC, bullet drop compensator, means that the reticle "dots" below the crosshairs are, theoretically, suppose to align with increasing distance for "holdover". So, you sight in and zero the crosshairs at 100 yards, the next "dot" below the crosshairs corresponds to 200yards to a target , the next 300 yards to your target and so on. It gives you and idea of how much to hold-over the target because of the increased distance. It is NOT exact as there is a wide variable depending on what ammo you use.
Bushnell and Nikon should fit your budget...among others.
Pay attention to whether the scope reticle is FIRST focal plane or SECOND focal plane.
Second focal plane (SFP), the BDC will only be accurate at max power of magnification.
If you get one in first focal plane (FFP) then the BDC reticle will be accurate at
any magnification.
FFP is usually more expensive
Bushnell makes a BDC for 308 AR, which they say is calibrated for 308
From the manual:
scopes equipped with the
DROP ZONE-223
and
DROP ZONE-308
ballistic reticles are designed to be sighted-in at 100 yds, and provide
aiming points in the shape of a dot every 100 yds, out to 500 yds. In addition, the top of the reticle’s bottom post (located below the 4th dot)
represents a holdover point for a shot at 600 yds.
The Drop Zone 223 reticle is calibrated for use with 223 Rem/5.56 ammunition loaded with 55-62 grain bullets. The Drop Zone 308 reticle is
calibrated for use with 308 Win/7.62 ammunition loaded with 168-175 grain bullets. All AR Optics scopes must also be turned to the highest
magnification setting in order for the reticle’s ballistic feature to function properly. In the case of the 3-9x 40mm model, the power change
ring must be set at 9 power for the ballistic function to work correctly. The
4.5-18x 40mm models should be set at 18 power for proper ballistic reticle
performance
CGN site sponsor Reliable Gun has them in stock.
https://www.reliablegun.com/en/bush...ly-multi-coated-waterprooffogproofshotckproof
The other way to go is with a BDC scope from Nikon.
ht tps://www.nikonsportoptics.com/en/nikon-products/scopes/prostaff/index.page#!/tag:_kQ:BDC
They make them in first and second focal plane.
Same idea but you can use their "Spot On" app which you enter your Nikon scope model, ammo info(any calibre, any bullet weight) and it will calculate what the reticle BDC subtensions which correspond to and at what distance.
ht tp://spoton.nikonsportoptics.com/spoton/spoton.html#:4