I think that you need to consider your conditioning in the context of your overall training with actual mat practise as your priority and strength/conditioning as secondary depending upon time available and recovery.
There is no point laying down a schedule of hard anaerobic interval runs
simply for the sake of enduring them if they are not relevant or required for your actual situation.
If you are engaging in frequent hard mat training sessions then you need for off the mat training should be correspondingly reduced unless you have a special requirement such as a competition for which you need to prepare.
If you endurance is particularly poor then perhaps start with low intensity runs. When you can accomplish say 3 mile runs in comfort then consider some interval runs. A typical interval session would be 6 x 200-400m.
You could start with 6 x 150m with walk back recovery run fast but at a pace that enables you to finish the session. Warm up first with easy running
stretching and strides and ease into doing this type of work gradually to allow the body time to adapt.
Remember however that mat endurance and running endurance are not necessarily the same thing.
I cannot vouch for Judo Tom's high rep routines but do look at hybrid run/exercise routines such as you will find at Crossfit and also check out some of the newsletters at Ross boxing which has some useful sessions.
Here is an example from Ross utilising the sand bag;
3 sets of 400m carry, 400m run, clean and press x10.
Ross also has a combo workout involving burpees and sandbag lifting.