You can safely stop watering your tomatoes. Watering twice (sometimes thrice) a week is the general recommendation for mature plants, I believe (so, if it rains sufficiently twice a week, I think you're good with that, and/or a possible hose-watering once a week, too).
Depending on how much rain they actually get in a storm, you may or may not want to add more.
Whether or not the change in watering will affect the ripening is anybody's guess. I've personally experimented with both overwatering and underwatering tomatoes, and while there are differences with specific varieties in days to maturity that way, I haven't noticed an overall statistical difference in when all kinds of tomatoes ripen (for every one that ripens soon, there's one that ripens later, and vice versa). I've had super early and super late tomatoes both ways, but not necessarily the same ones. Soil temperature makes a similar difference. I know you mentioned specific varieties; so, just take what I said as food for thought (not as me addressing what you said).
It's normal for tomatoes (and peppers) to look the same for a number of weeks after they reach their full size, before they ripen. I wouldn't sweat it. Just be patient. It's barely August. Extra phosphorus is supposed to speed ripening somewhat, though (but I wouldn't recommend worrying about it, unless your season is about to end).
Keep watering the peppers. I recommend watering them every two days, unless they're still sufficiently moist or wet. Mulch can reduce watering frequency needs. However, in some soils and climates, you may need to water more (like if the soil dries out really fast). For my peppers in the ground, I grow them with black plastic, which would reduce the watering needs, and I water them about every two days.
Whether or not it would affect the ripening speed, peppers need more frequent waterings than tomatoes.
Other things will affect ripening speed more than how much you water. Watering more can make nitrogen more available. If your soil is high in nitrogen, watering a lot would probably be a problem (and might affect ripening). If your soil has a normal amount, I wouldn't worry too much.