Hi.
my sis had her baby when I was 32 weeks and I finished work early (I have a lovely boss) so that I was able to taxi my DM to the hospital to visit. I should add that DS knew baby had a heart condition and required transferring to another hospital 40 miles away from me and DM for surgery so was in hospital for a number of weeks.
Anyway, I felt absolutely fine but, from 32 weeks onwards my BP started to fluctuate a lot. It was creeping up and up every time I saw the MW and eventually she had me on daily checks from the community mw team.
I guess i'm saying that I certainly don't regret doing the trip each day to get my DM to see her daughter and GS but I do wish i'd taken a bit better care of myself along the way. In hindsight, I should probably not have gone daily, and I should have made sure I took adequate food and drinks with me.
You 'probably' do have a few weeks left to go so that probably won't be too much of an issue but do think about your own health otherwise too. I was kept in hospital a week as my BP refused to settle (partly due to DS developing an infection too though) and as soon as he was better I pretty much demanded that I wanted to go home and asked if I could see if my BP would settle if I were comfortable at home. Indeed, I arrived home at 11pm on the Thursday and the MW visited me at lunchtime on Friday and BP was spot on!
Is it certain that your DH wouldn't be able to get to the hospital your DF is in if you were to go into labour? You will probably have enough time to get him there so it would be the logistics of actually getting him there. (Though yes, some babies do arrive in a bit of a hurry)
All in all, I doubt very much that your dad would want you to put yourself or your unborn baby under any unnecessary stress so I wouldn't worry too much about having a rest day in between visits. Think how he would feel if anything were to happen to you or baby... (Honestly, i'm not trying to be mean, just a general comment that he would feel bad if anything happened to you or baby or if you dh missed the birth etc)
Visit when you feel able, rest when you need to, be prepared when you do go - have your notes, bag, food, drinks etc and go with how you feel each day.