How to Set Minimum Export Size?

Of the various export recipes available, I can't find a way to specify a minimum dimension, so I have to use multiple recipes depending on how much I've cropped the source image.  One of the sizing options is "never upscale" but what I actually need is "never downscale" so if a cropped image is larger than my threshold it will export it at its full size, but it won't let it drop below a certain threshold. 

Example.  I have a 6000x4000 photo cropped to 3000x2000.  The print shop requires a minimum size of 4000x2667.  Right now I use a recipe that forces the long edge to 4000 pixels so C1 will upsample it.  Quality-wise that's ok.  On heavily cropped photos I'll factor that into the editing so it still looks decent.  However, if I have a photo cropped to 5000x3333, that recipe will downsample it to 4000x2667.  That means I need to see the cropped pixel dimensions in the editor to determine which export recipe to use to avoid downsampling.  I'd like to avoid this, but I just haven't found a way to do it.  Is there a trick I'm missing?