At 1:1000, the Discovery would be 29½" long. Round2 is supposed to have one at that scale out at some point in the not-too-distant future. The Enterprise herself from that show is about 1.5 times the size of the TOS original. The Discovery is actually longer than a Soveriegn-class starship at 750.5m long.
If you're basing the Discovery length off of (780 ridiculously) long meters, that puts the 1:1000 length at 78 cm (30.7").