as someone with experience with the needs of a shul in software, & I understand some coding. I have spoken to a few online shul management systems.
Donary is on to something, but meanwhile its not prefect for s shul, so I wouldn't use them currently, they keep on telling me for the last half year that within the next few weeks its going to be useful for a shul, but meanwhile its not, once it is, I think it will be a very good option. Con is that they are very pricey for a shul that only needs it to manage a shul, they have a lot of features that maybe justify the price, but a shul doesn't need most of the features, so its not justified price for them.
I heard that banquest is working on a shul software/website that will be very decently priced, but i never spoke with them.
I have spoken with shulspace (bitbean) at length, a ton of features are missing, ifeel that they are very good, but seems like the are missing salt & pepper.
So meanwhile I'm still using an access based software, as I am not willing to switch to something that's not %100 useful for us, I'm not switching from 1 unuseful thing (the access DB) to another thing that's not useful (websites), once something will be prefect, I'll gelidly switch