packard...
You have not mentioned wether the duct is thin or thick skinned. However, I will try to give You some rules-of-thumb learned by both testing and field experience.
If this is a hot gas duct, leakage of hot gas will occur thru the crack... and obviously thru a stop-drill hole. If You can't tolerate this, perhaps removing the part from service, or welding [as per appropriate methods, off-acft], or PATCHING would be viable alternates.
If crack is not leaking substantially, and/or it doesn't matter, then STOP-DRILLING the crack tip(s) is a viable alternative. Use the largest diameter stop-drill possible, MINIMUM diameter, of 0.187"D maximum 0.375"D, and DEBURR very CAREFULLY!!!!
Then PLUG this hole with a fastener to match the environment, IE: aluminum duct use an aluminum driven rivet; or CRES/Inconel duct use a monel or A286 driven rivet. Install an NAS1097 [flush-shear hd] or equiv in a very thick-walled duct; or, if thin-walled [or cracking-prone], install an MS20426-style [brazier hd] fastener with head inside duct, tail outside... then grind-down head to approx 50%--60% of the original height. The fastener will swell in the SD hole and provide a clamping affect on the hole lips... extending re-crack time significantly beyond a simple deburred stop-drilled hole. I have also had success using a MONEL cherry-max style rivet and tight-fitting tension-rated Hi-Loks [thick head and cress collar] that are tightly fitted to the hole [flat surface required]... DO NOT GRIND DOWN THE HEADS of thes fasteners!!!
One-other option, superior to stop-drilling/plugging the crack-tip is to stop-drilled hole, COLD-WORK [CX] the hole and then plug it. See the FTI website noted below for the SsCx process. If you want a lot-more life out of Your SD/plugged holes this will do it!
NOTE for weld-repairing a part: stop-drill the crack-tip with a small diameter bit [than can easily be plugged by a welder], then slott-out [or grind-out] the crack to eliminate the contaminated crack-faces. Use 100% surrounding/dry inert gas-purge [all sides], appropriate TIG and weld-rod; then post-weld stress-relieve [ferrous and HRA materials]. I found that the stop-drill minimizes thermal stresses/strains on the weld, minimizing re-cracking and distortion during welding . Regards, Wil Taylor