I had to relay this info. I checked my biscuit slot widths, and found that the narrowest piece I could end cut a slot for #0 biscuit was about 2" wide. In the MLCS catalog, I found a router bit that cuts a round 1 15/32" slot for a 1 13/32" round biscuit (# 11). If you are very careful, you can cut a slot in the end of a piece as narrow as 1 5/8", or more comfortably, in a piece 1 3/4" with some room to spare. It's costly though, at #32.95 for the bit and 100 #11 biscuits.
They do have a single slot cutter for $12 in the 5/32" width, but it cuts a 1 7/8" diameter slot, so you're back to a 2" width piece of wood. But, this cutter also comes in a 5.2mm width so you can cut slots and use a strip of 5.2mm plywood as the "biscuit". That brings up possibilities. BTW, I did some conversions. 5.2mm is 0.205". 3/16" is 0.185" and 1/4"of course, is 0.25". So, 5.2mm is barely over 3/16", but under 1/4".
Their site is
www.mlcswoodworking.com and they have LOTS of router stuff, as well as forstner, bradpoint, and countersink drill bits.