[PowerManDL]

I'd suggest that while working the 5K time you don't do more than 1-2 days in the gym. Keep it brief and focus more on the keeping-healthy stuff with a little work for strength.

If/when you get to a stage where you can back off the running for 4-6 weeks and focus on building strength, you could do a more straightforward strength/size kind of training with a little running to keep your 5K within reason.

But I'm speaking purely in abstracts, knowing nothing about where you are.

ETA: I'm dumb and ask questions without reading.

Are you just focusing on your lifting for the summer, which you hinted at, or do you have more of a year-round focus? If it's just for the summer, you could do something like what I outlined.