Most miniature cardioids will be about the size of your SP's. The DPA miniature directionals that Melanie mentions and uses are smaller and same size as the DPA miniature omnis.. or at least they can be..
DPA makes a couple of miniature cardioids that use microphone capsules which are the same size as the DPA miniature omnis. The 4080 is a cardioid lavalier and 4099 is a cardioid intended for instrument mounting. Both of those are housed in a built-in shock-mount and windscreen which increases the size to about the same as your SPs. The 4080 shock-mount is attached to a built in lapel clip. The 4099 shock-mount is attached at a right angle to the end of a short gooseneck with a micro-dot connector and clip at the other end specific to the instrument it is intended to be mounted on. I assume tapers using either of these may be removing the 4061-sized mic capsule from the shock mount and windscreen, in which case the mic itself will be is the same size as the omnis. I think both those mics use a short interference tube grid about an inch long which takes the place of the (shorter) low-boot and high-boost-grids used on the omnis.
Bob/Melanie is that how you are using your 4080s?
I use DPA 4097H which was marketed as podium/hanging choir mic with a super/hypercardioid pattern when I picked them up a number of years ago. 4097 uses a longer ~2" interference tube grid, however the shorter 4080/4099 grid, no grid, or the low/high boost grids from the omnis can be substituted on any of these capsules. 4097 is mounted "axially in-line" directly to the end of a short gooseneck, rather than at a right angle like the instrument mics, without a built-in shock-mount. The microdot connection is at the end of the short gooseneck and an extension microdot cable is needed from there to the recorder, same as 4099. The "in-line with the gooseneck" arrangement is more stealth friendly than having the mic at a right angle at the end of the gooseneck (without modification) and I like that the cable past the short gooseneck is removable/interchangeable. That said, I think once 4080 has been removed from its shockmount/clip it just has a straight built-in cable like the omnis, so will be more familiar in that way (Bob/Melanie please confirm).
I don't actually use 4097 for stealth myself but in my open rig, where the gooseneck is handy to point them as needed. Not sure if the 4097H I have are still available, but I see DPA currently lists 4097 and 4098 podium and gooseneck mics which are probably the same just with various tube/gooseneck configuration - some inline, others at right angle, some with extension tubes, feet, etc.
Sensitivity differences:
4080 sensitivity is 20 mV/Pa; -34 dB re. 1 V/Pa (same as 4060)
4099 sensitivity is 6 mV/Pa; -44 dB re. 1 V/Pa (same as 4061)
4097 sensitivity is 16 mV/Pa; -36 dB re. 1 V/Pa (closer to 4060)
^
In use, the sensitivity matching between these and the omnis works out a bit differently than by the numbers. I run both 4061 and 4097 in my open rig. When used for concert recording with equal gain applied the resulting levels end up being similar from both despite the significant difference in sensitivity, due to the typical in room frequency curve at a concert having significantly more low than high frequency energy, in combination with the less sensitive omnis providing increased low frequency response and extension as compared the the more sensitive directional mics.
4080 photo-

4099 photo-

4097 photo-

[photos an specs from the DPA website]