It depends... A chip antenna in profile is smaller, but it needs to have a proper ground plane. But very sensitive to GND plane design placement (price of beign small)
Also the bandwidths are rather small, so... needs a lot of research.
It has pros though with the PICO, like no need for matching cirtuit, just a properly sized 50ohm feed line (which is difficult to do with OSH-park for example, since to achieve a good 50ohm feed line, you need 0.7mm wide trace with 0.1mm GND plane gap, but OSHpark offers 0.157mm for 2 layer and 0.127mm for 4 layer.
Below you see some mechanical studies on the subject.
White arc on the picture supposed to be the LED bulb lighshade (the first prototype has this type), which is the maximum mechanical constraint, but still wanna aviod too big modules, to not disturbe the light coming from the bulb.
1st Prototype will be OSHpark (with OSHpark's purple solder resist, but almost full PCB silk screen, to make it white).
Next prototype will be from Seeedstudio with White solder resist.
From most of these deisgns, all of them are almost flat, except for the Proant, where the antenna would protrude from the modules surface 3-4 mm, probably causing some incorrection in the light beam.
PCB will also has (on the PICO side and on the back side) a 3.3V LDO, some caps, and 2 transistors with resistors for level shifting to 5V. Will be soldered to the LED-board of the buld, using castellated edge pads (like on the ESP modules)
