You will probably get better advice if you provide more specific information about your current goals/training/diet/circumstances/timelines etc. However, based on what you've given, here's what I think:
If you can fit in 2x/wk lifting, many people have found good results with the 5/3/1 - 2 day split outlined in this article. If you really can't do 2 days/wk, I suppose you could still do a similar split, just taking each workout in its turn. However, progress will be much slower and I would strongly encourage you to shoot for 2/wk.
Assuming your nutrition and sleep are adequate, you should find it compatible with a sensible running program that includes both steady state and interval/speed elements as well as daily pushups/pullups/situps. If you have the option (i.e. you're not yet subject to mandatory PT sessions) avoid doing your pushups/pullups to failure on a regular basis, as this can make recovery difficult in high frequency/grease the groove training.
A recent article also recommended using gymnastic rings/TRX staps for high frequency pullups as they allow for natural rotation of the hands during the movement, which supposedly helps prevent certain overuse injuries. I can't speak from experience on this one, but it makes a certain amount of sense to me.
Hope some of this is useful. All the best.