@de Silentio,
As to your first question, "does anyone recommend a school or a solid method to choose one?"
A School is a School.
A school is a school regardless of what certification, laureate, whatever. Whatever school you pick, the programs are going to be pretty much the same because core requirements are core requirements. The system is interconnected in that way. In the end, it all depends on how far you want to take your own education. Schools give you the fundamentals, but it is up to you to take it to the next level. Some may disagree with that assumption, but there it is.
Cost vs. Benefit
Ivy League for example doesn't mean first tier, it means 1 education for the price of 5.
Always look at the price vs. the benefit of the education you will receive. If you go to Yale and major in pottery, you end up with a $120,000 four year degree that will take you 40 years to pay off making $30,000 a year with a compound interest on your loan totaling $240,000!!!
Public vs. Private
There may be something to be said about private vs. public universities though. From experience, a private school is easier, nicer, more pleasant, professors work with you and enjoy doing it, but you have to pay for it. A public school on the other hand is harder, uglier, less pleasant, professors need to get paid, but it is a lot cheaper.
DO NOT GO TO A PUBLIC SCHOOL OUT OF STATE!!!! The tuition rates are doubled outside your own state as an out of state student. My advice is this.
Try to go to a private school in state
The Degree you want
You want a philosophy degree and a religion degree. That's great! I majored in philosophy and pre law/premed. The two degrees are very similar, and they are both encapsulated within the sub college of liberal arts, which is the degree you will receive. From the way you put it, you want to double major. That's awesome. It will take you 5 to 6 years to complete that based on possible credit hours. But you can complete what you want in 4 years by majoring in philosophy (or religion) and minoring in religion (or philosophy). A minor is transcribed on your records, but you only have to do half the required classes to get it. Do a major and a minor.
This is an important piece of advice. When you are looking at schools,
AND THIS IS VERY IMPORTANT!!!! LOOK AT HOW MANY DEPARTMENTS THE COLLEGE OR UNIVERSITY HAS IN YOUR PARTICULAR COLLEGE!!!!! Universities are cutting back across the board, and unfortunately cutting into departments as well. For your degree, you need to make sure the school you choose has; a philosophy department, a religions department, a language department, a psychology department, and a HEALTHY humanities department. There are more, but you get the picture. If they are cutting the humanities department, that department is then rolled over into the philosophy department, and the quality of the philosophy classes' change or downgrade. There is more to be said, so if you want to know more, I'll be happy to address them.
As to your second question, "Should I go for a masters or a second bachelors?"You can take masters classes as an undergraduate. They are roughly the same as undergraduate classes they just want a bit more substance from you. You can either signup for them or have an instructor give you "seat card" for it. The seat card is a subtle science though. As for you second bachelors degree, you can double major at the same time like I said previously, you just go a bit longer.