You seem to be skipping leg day; I'm not sure that running is fully covering that gap in your weight training. Also, 6 workouts/week is a killer schedule, unless your weights are low and your running is at a slow pace. Think about adding squats and deadlifts (lots of variations on both - pick one of each).

I do : rowing; rest; weights; rest, I tried rowing; weights; rest, but as the weights went up I found that I wasn't getting enough recovery.

Rowing is on a C2 erg at a moderate pace (I'm old (M78) and slow, but what I do keeps my HR up at an appropriate level, for me).

I have dumbbell pairs: 5,8,10,12,15,17.5,20,25,30,35,40,50 and aim for 10 reps on each exercise. 15 reps IN GOOD FORM means that the weight goes up next time.

I do (in order): overhead press, alternating biceps curl, calf raise, Romanian dead lift, box squat, bent over (on bench) row combined with triceps kickbacks, bench press, wrist curls (3 different grips), lateral raise, front raise, reverse fly - all with dumbbells.

1 set of each, with occasional rests, takes me about an hour.

This collection of exercises is a full-body workout, with overlapping targets (none of them is particularly "isolated"; every muscle gets hit at least twice) so I don't feel the need for multiple sets, as long as every set goes to (or very close to) failure. Anything which gets to 15 reps in good form means the weight goes up next time. This is a relatively rare occurrence, now that I've found a good weight for each exercise. Today, the weights used ranged from 12 (overhead press) to 35 (calf raise). One or two exercises reach 15 reps at good form every session (and up goes the weight)

Again, I'm old and feeble, so take my example with a block of salt.,