I really like the Shikoros on my fun commuter - panaracer also makes them.

Oddly, only in 700x33 and 700x38, no 35mm

I also have some gravelking SK’s on my all weather commuter, also made by panaracer. They do make a 35mm version, and at least when fresh they are visually smaller than 38mm panaracer paselas, though they will stretch a bit.

It is pretty hard to find smooth fast tires in that size. Paselas might be your best bet. You can get them with and without the puncture strips.