What you are missing is - you need a school affordable for 5 years - that’s assured.
You can go Iowa State for four years. Can you get a Masters too in that budget ?
There are schools that can get you a Masters in 5 years. You need to find an assured one. If that’s Iowa State then great. But I’m not sure - you have to see the Masters cost and do they have a 5th year one.
Btw it’s a rural ish flagship like most others - solid - but will be less geographically diverse than southern schools. So why do you like it vs others ? Have you been to any of them ??
There will be more - that’s just names top of mind. You have to find those that work.
U of Kansas is one to investigate if Iowa State doesn’t work.
Going alphabetically through the ABET list you might calculate - not four years but 5-6 with Masters and that year will likely be a higher cost in the Masters years and see.
When you have budget concerns, it has to drive the decision. If Iowa State works including a Masters, then you’re good. Have you been ? Why it over other cheaper ? It looks like the Masters at Iowa State will be one year and $45-50k. So can you do the undergrad for $150k - about $38k a year (don’t forget annual increases at most schools) ? If so, it should be fine. What you don’t want are loans.
Anyway you just need one assured and affordable I’m guessing some of these below will work including a Masters but you need to check each to see if they have and whether it’s one or two years some may be one year if you did your undergrad but two if you didn’t
Good luck
Akron
UAH
UAB
Angelo State
Arkansas Little Rock
Ark State
Buffalo
Dayton
FAU
FGCU
Ga Southern
U Hartford
U Kansas
Louisiana Lafayette
Louisville
Maine
Marshall
Memphis
Mississippi State
UNCC
Rowan
Shippensburg
Slippery Rock
UTenn Chattanooga
Wyoming