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You are almost describing an I-Joist except you would also include a bottom flange installed as you describe. The top & bottom flanges are a bit thicker, usually 2X3 or 2X4s and the web (the vertical portion) is usually OSB. You might double the top plywood flange so there is some meat left after you cut the slot, but likely is overkill. The bottom flange, which you are omitting, is to resist twisting which likely won't be a problem unless your benchwork will double as a dance floor. Glue and secure with a few screws to hold while drying. Make the web a bit deeper and you may be able to dance on it. Wayne
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