By long intervals, are you talking about 1Ks or even longer ones?
"usually" (whatever that means), long intervals means more than 800m and common distances are 1000m, 1200m, 1600m, 1 mile and 2 mile.
because you want to take a low-mileage approach to this, the way I would go about this is to start with a volume for the total session, let's say, 4800m. then you divide that 4800m up into as many different sized chunks as you can.
= 6 x 800m
= 5 x 900m
= 5 x 1000m
= 4 x 1200m
= 3 x 1600m
then you decide on two different paces, basing one of them on your 5km time of 19:00 which is 91s per lap, and then add 6 seconds to that to give you a rough estimate for a 10km pace of 96s per lap, suggesting a 10km time of around 40:30.
then you work out how long it takes to run each of your distances at each of your paces:
dist / 5km / 10km
800m 3:05, 3:15
900m 3:25, 3:38
1000m 3:48, 4:05
1200m 4:35, 4:50
1600m 6:05, 6:30
then you calculate your recovery as a percentage of the run time. at 5km pace you start with a recovery of 80% time of the run, and at 10km pace you start with a recovery of 70% time of the run. which gives you:
at 5km pace
dist / run (rec)
800m 3:05 (2:30)
900m 3:25 (2:45)
1000m 3:48 (3:00)
1200m 4:35 (3:40)
1600m 6:05 (4:55)
at 10km pace
dist / run (rec)
800m 3:15 (2:15)
900m 3:38 (2:30)
1000m 4:05 (2:50)
1200m 4:50 (3:25)
1600m 6:30 (4:30)
then your three runs each week will consist of a long run, and one session from each of the above groups. in each group you start with the first session, so you run 6 x 800m not faster than 3:05 each, and you take a recovery of 2:30. if you find that you recover well from this session, on your low-mileage approach, you are sleeping well, injury free and so forth, then you run the same session again. never be shy of repeating a session you know you can do. you only have to progress when you have stopped benefiting from a session. plan to run each seesion 4 - 5 times, that's once per week for 4 - 5 weeks.
to progress, you simply move to the next session; 5 x 900m not faster than 3:25 each with a 2:45 recovery. when you get to the point where you have either run out of sessions in that group, or you are not ready for some reason to move to the next session, then you start to reduce the recovery. cut it by chunks of 5% the run time. so if you're running 3 x 1600m no faster than 6:05 with a 4:55 recovery, and, on your low mileage with swimming and cycling or whatever else you are doing, you are recovering well, sleeping fine, not injured and so forth, then cut the recovery to 75%, which gives you 3 x 1600m no faster than 6:05 with a 4:35 recovery. repeat as necessary. when you get the recovery down to less than 40% it's time to start running them a little bit faster.
if you race 5km or 10km, adjust your run paces to suit. at any point you can replace either session with either a 40 minute fartlek session or a session of hill repeats for some variety.
three important points:
1. to runners used to higher mileage these will seem like easy sessions with long recoveries, but only you can tell how you are responding to this sort of work off a much lower mileage which means that you are the only judge of when you are ready to progress.
2. the run times ALWAYS mean NOT FASTER THAN. there is zero advantage to running these sessions faster than stated. if you genuinely cannot run slowly enough, then you need to go further not faster.
3. you don't have to make constant progress. never be shy of repeating what you did last week. take a down week every 3 - 4 weeks to make sure you are recovering properly. patience is a virtue.
cheers.