Not all churches pass the plate during services. Some of my CT family were members of a Brethren church that had a lockbox inside the church foyer where members dropped in their envelopes or money. No plates were passed.
Hindu temples don't do this, either. You can do one of several things. You go to your īśta-devatā (your personal deity - there can be many of them in a single temple), and during your obeisance in front of the mūrti (physical form of deity) (sometimes, you're alone, and at other times, someone(s) is standing/sitting beside you), you can drop some money on the ārti plate (plate that has either a single lamp on it with other things like a flower or some rice, or five oil containers with wicks, in which all are lit at the same time and waved in front of the deity to bring light about the deity during an ārti or pūjā (ritual in which a deity is honored and praised and an ārti song is sung for the deity)).
Another opportunity is during that ārti ritual, in which the ārti plate at some point after waving the ārti plate in front of the mūrti is brought down from the sacred space of the deity to the people standing in lines, and in our temple, the arcaka (sounds like archaka - temple priest) brings that ārti plate down to the people in line, which is waved in front of each person during the ritual, and sometimes a person will put some money on the ārti plate, which is intended directly for that priest.
A third option is putting the money in a hundi box, usually one of which is dedicated to each deity consecrated in the temple, or one of other donation boxes, like at the entrance by the temple office or at the counter of the temple kitchen, where everyone goes to enjoy the food blessed by the deity during one of the rituals (one of the pūjās or ārtis).
HOWEVER, if you are in India and you go to one of these temples, and you feel personally compelled to give money on your person (because you just want to), do not put it in any box, because there is a law (“Hindu Religious and Charitable Endowments Act XXII”) that dictate that the money is to be given to the government, which in turns only gives back to the Hindu temples a minor portion, and the rest of it goes to, believe it or not, to Christian missions/missionaries and Islamic madrasas in the country as well as subsidizing Haj. So, give your money to the temple priest directly.