Obviously, I am looking for stocks that tend to stay within a limited range and typically don't have too much fluctuation.
Which can also be read as "typically don't have too much premium." You may want to study the concept of
implied volatility.
You seem to have a mistaken idea about how markets work: a belief that there are "better" and "worse" stocks for iron condors (or any other structure.) Consider this thought experiment: if one stock was somehow "better" than others... wouldn't all the smart finance folks in the world immediately pile into that stock and make all that easy money? (Also: would they, with their billions of dollars, leave any for you?) Clearly, that's not the case. In fact, one of the more useful default assumptions you can have is that
all trades have an expectancy of $0 at entry (less friction.) If you get more credit, you're taking more risk. If you're buying something cheaper, you have a lower return.
That is actually the default behavior of markets (and thus of your portfolio, unless you have some means of doing better. Hint: structure, such as iron condors, etc. doesn't qualify.)
Since IV is a primary driver of option pricing - in fact, thinking of vol
as the price of an option can be very useful - a stock with a high IV will offer you the opportunity of getting into a
wider IC than one in a lower-vol stock. Take a look at some ICs with the short strikes at, say, 16 delta and the wings a couple of bucks wide - let's say in KO and ROKU (where the underlyings are fairly close in price.) Does the width, and the credit you get, hint at anything? What happens to the option premium when the spot price moves $1 in both? $2? $5? Given the vol/recent moves, how likely is each of them to move by that amount?
I hope you're getting the point here: "not too much fluctuation" is not a useful factor in choosing an underlier for your ICs. Instead, I'd suggest reading up on
realized volatility in addition to IV, plus maybe IV% (that is, percentile) and consider how they work in relation to each other. Consider that volatility is mean-reverting - but price isn't. Also, think about the trend of the stock (however you choose to define that); if it has a strong one, then one spread of the IC is more likely to get hit than the other - so maybe it makes sense to skew your IC somewhat in that direction (or do something other than an IC.)
Last thing: I'd suggest backing your mind away from the pervasive story (sold by hucksters to naive retirees at "financial seminars") about ICs being a "safe investment" or an "income strategy." If you believe in one structure being "safer" or think of it as "income producing" - even after the thought experiment I suggested above... well, nobody will be able to help you. You'll just have to get tutored by the market - which charges all the traffic will bear, and often a lot more than that.