You ask for a NOTAM window - some or all of your permit duration (if its short). Look for a launch window 3 - 4 days out and apply for the NOTAM when it looks like you can fly. If it turns out that the forecasts change then email them to cancel the NOTAM request:
Here is what I email to ARops for a recent launch at Elsworth:
To: AROps <AR...@caa.co.uk>
Subject: 2023-07-nnnn Meteorological Balloon Launch Elsworth Cambridgeshire Monday 27th May 2024
Please raise the NOTAM associated with Meteorological Balloon EXEMPTION/PERMISSION 2023-07-nnnn (attached) for 10am - 5pm local time (09:00 to 16:00 UTC) Monday 27th.
Kind Regards
Steve Randall
I always include a copy of the permit. Be sure to give them at
least 72 hours notice of the window start as they have got a bit
pedantic about it.