I have a set of 19mm wide carbon rims that, unlike my other carbon tubular rims, does not have a center channel for a tire seam to sit in (pic below, it's the rim on the bottom). I have both 21mm and 23mm Vittoria Corsa Evo CX tires and 22mm Continental Giros (I heard they have a minimal seam but it's just as big as the Vittorias). None sit well in the rim. They have a noticeable gap on the edges.
Advice from a tire guy was to build up the glue but that only marginally helped as I couldn't build it up enough to really fill the gaps on the edges.
I'm looking for tire suggestions that have no/bare minimum seam or other creative solutions.
Rim on top has a center channel whereas the one on the bottom does not.