Suggestions for a Barbell/Rock Climbing Split.

Been lurking while making great progress with Starting Strength over the last 3 months. My 3x5 lifts are Squat: 165, Deadlift: 185, Bench: 155, and Press: 80

I love this program but started rock climbing the last 3 weeks and have fallen in love with that too. My question for you guys is how should I split my workout now?

I figure I can get away with only practicing those four main lifts along with climbing for a well rounded strength routine. My initial idea was to squat or dead and bench or press before my climbs 3 times a week, but today I squated and benched then climbed and it was too much.

It seems like I need to lift one day, climb the next. But will I be recovering effectively then? How can I continue to progress in both these disciplines without overuse injuries? Bonus points if you can program it with both Friday and Saturday as off days but open to anything that will work.

Thanks Guys!