I've used Tri-X, HP5+, and TMY. Of those, if I were stocking up, it would be with HP5+ - not because I necessarily prefer it over Tri-X, but because here in the States it's about half the price in bulk. TMY is interesting and nice, but doesn't really offer the look I like for most things. Tri-X and HP5+ are very similar (at least in Caffenol); HP5+ seems a little less contrasty, but the difference is negligible. The Ilford films also dry completely flat, which is very helpful when scanning.
I'll put together some examples and post them (they will all be Caffenol, not Rodinal - sorry, it's all I've got).