How bad is BOM in July?

I'm considering a work trip to India for a week or so in July. I need to spend some time in Ahmedabad, and some time in Bengaluru. Usually I fly in to BOM for my India trips, but this time it turns out I will not need to attend to anything in Mumbai. All the news reports I hear every year about the disruption of transportation (including flights) in Mumbai during the most intense periods of rainfall has me thinking that I should maybe fly in and out of another city instead. Considering flying in and out of BLR (seems most convenient, many options) or AMD (less convenient, fewer options, also seems more expensive). An open jaw type itinerary like flying into AMD and out of BLR seems doable but more expensive... Or I could consider DEL, I suppose, presuming that it is not affected too much by the monsoons.

Am I being too cautious? Would it be OK in general to fly in and out of BOM as the base? The thing is, I'd be loth to lose even 1 day out of the short trip if there are weather-related disruptions. And I'm assuming Bengaluru is generally better even though it'll also probably be quite rainy then. (In any case I have no choice, I have to be in Bengaluru for at least some time.)

I can absorb some level of disruption on the domestic legs - like if one flight out of BLR was delayed or canceled because of the rain and I had to get on the next one or something, that would be fine. But having the international flight coming in be disrupted would be bad, so I want to optimize reducing risk on that.

Thanks for any advice. I'm otherwise quite familiar with India, but have not really dealt with Mumbai monsoons first-hand.