I'm in Carmel and love it here. The houses are more expensive but you might find something you love in your price range. But not new housing... all the new houses are much higher than that. Carmel schools are routinely at the top of the state's list. All the Hamilton county schools are great... even the ones that are "low" compared to others in the county are way better than the state average. You really can't go wrong school-wise with any district in the county. I agree with the previous post about Fishers... depending on where his job is, he may have a horrible commute. They plan on working on I-69 at some point but it may be a few years. The I-69/I-465 area can be a mess.
If he's going downtown then Westfield might be a great choice since he could zip down US 31. Lots of houses in your price range, great schools, awesome public library, lots of parks and a park department with all kinds of kid classes (tumbling, dance, art, sports, etc). Good youth sports programs, too. And it's just minutes from downtown Carmel. Carmel has lots of parks including Central Park which just opened last year. The Monon Center is in Central Park and it has an outdoor waterpark, indoor water park, complete fitness gym, basketball courts, etc. Carmel parks department offers literally hundreds of classes/sports for all ages - baby to seniors.
As for hospitals/doctors... I delived my 2nd kid at St Vincent Carmel and 3rd at Community North -- both are somewhat newish hospitals and great. I felt like I was in a hotel on vacation after delivering the kids. :-)