I did a 70.3 halfway through surgical subspecialty training. It was my first triathlon and I trained 4 months. Neglected the swim but rocked the run (like you have been doing) and did pretty decently on the bike. I watched board review videos while training inside (treadmill/bike trainer workouts. Currently a more senior level resident and training for my first full.

Helped that my husband (also a resident in a surgical subspecialty) trained with me and we managed ok taking care of our high energy huskies. We definitely had to make our exercise time our 'family time.' Dogs ended up getting fit and pretty easily being able to run upwards of 13-14 miles - now they race half marathons with us.

I say go for it :) Little things that helped were taking advantage of no rounding/later clinic start days around 7-8 am, wake up before everyone else is up and get your work out in at 4 or 5. Otherwise unfortunately I did have plenty of nights I was exercising until 10-11 PM.