I'd recommend the new Ilford Delta 400. I've found it to be a big improvement over the previous 400 Delta (more speed, better gradation, nicer grain), with finer grain than Tmax 400 and more speed than HP5+. It's my general purpose film when I need more speed than EI 50.(posted 8393 days ago)The new D400 stains very well in PMK (much more stain than Tmax 400 - about the same as HP5+) with very good sharpness, excellent gradation, and smooth, fine grain. (D400 has a very different grain pattern from the blotchy grain aggregation in evenly toned areas that's turned me off of Delta 100.) D400/PMK image quality is virtually the same as HP5+/PMK but with 2/3 of a stop more speed (EI 320 for D400/PMK vs 200 for HP5+/PMK). My D400/PMK negatives rival FP4+/PMK shot at EI 64, but with 2 1/3 stops more speed. With 120 D400 in PMK, I develop by the book at 70F for 16 minutes.
For more speed, D400 also does well in DD-X EI 500, albeit with more grain than with PMK, but better image quality than Tmax 400 and more speed than HP5+. D400/DD-X negs developed in DD-X for Ilford's recommended time are dead on an Ilford Grade 2 (31M, 42Y) on my Omega dichroic (diffusion) enlarger.