I'm at a different stage to you but had my first HRT review with a practice nurse over the phone.
Maybe I got lucky, but the nurse seemed a lot more knowledgeable about HRT and peri/menopause than any of the GPs I've seen so far.
She took her time, asked loads of careful questions about the full range of symptoms. She didn't just ask about symptoms I'd mentioned before, she asked about everything, which I thought was really good. The only thing with phone call appointments like this is you don't always have privacy when they call you - or even any control over when they call you! - and some of the questions are very personal, eg info about bleeds, vaginal dryness, sex life etc!
I had to go sit in the car to be able to talk uninterrupted by my kids.
Anyway, then she recommended my next steps and basically just needed the GP to sign off my new prescription. On balance, I was happier with her assessment than the GP's previously.
I wouldn't have been able to provide weight or blood pressure info if I'd been asked, but I know some pharmacies will now do this for you without an appointment, so it might be worth trying that before you spend money on a blood pressure monitor. Especially if it's only a one-off?