If you mean swing in the modern retro blues sense that draws on late 1940s R&B and jump blues, then I'd suggest Dennis Gruenling.
If you mean 1936-era Count Basie style, that's a little thin on the ground. Some of Toots Thielemans' work from the 1950s is at least inspired in part by that period, but filtered through bebop.
If you mean swing in the modern retro blues sense that draws on late 1940s R&B and jump blues, then I'd suggest Dennis Gruenling.
If you mean 1936-era Count Basie style, that's a little thin on the ground. Some of Toots Thielemans' work from the 1950s is at least inspired in part by that period, but filtered through bebop.