An unguided 1000kg "dumb" bomb costs $2,000. A "smart bomb" costs $20,000 to $100,000. A cruise missile costs $1mil to $2mil.
In the scope of any protracted real war, sending out lots of cruise missiles is horribly inefficient. Much much cheaper to send out a few planes to drop 100's of tons of dumb or smart bombs. IOW, you can deliver 10x to 100x more boom if you just use planes and bombs. 1000x more if you use long range artillery. But then, the pilots or soldiers are at risk-- and that is a political calculation.
I don't think you could get an engine capable of getting you hundreds of miles at that speed and altitude, much less the sensors and guidance system.
It will be burnt up by the time it runs out of fuel, though.
For a good one it has to be hydro-formed out of seamless pipe, which is likely hot-stretched (like wire drawing, but using an induction heating coil in place of the die, and independently controlling the feed-rate and the pull-rate) in advance to retain consistent wall thickness in the engine despite being cross-section after hydro-forming. Also probably incremental hydro-forming with grain-structure-fixing re-heating between stages.
The hard part is just that most of the work is in making the hydro-forming dies/tools, not then using them to cheaply produce more engines.
Of course, you can definitely make a BALLISTIC missile with a couple hundred mile range using a solid rocket engine, and probably for fairly cheap (especially if you don't particularly care about accuracy)
Also: Scud missiles are comparable, made outside western cost inflation, and still ~$1M each. So I'm guessing you can't get a ballistic missile anywhere near $10k (at least, not one that isn't more likely to kill its owner).
https://disclose.ngo/en/article/war-in-ukraine-how-france-de...
(An order of magnitude larger helicarrier contract was cancelled eventually.)
That said, you could probably make a glide bomb for pretty cheap. The two examples I gave above are in the hundreds of thousands, but I bet if you sacrificed some of the accuracy and payload, and you were really optimizing for cost, you could get that into the tens of thousands
0: https://www.theguardian.com/world/2003/jun/04/terrorism.davi...
This sounds similar to the Nth Country Experiment, conducted by the US in the 1960s. The idea was to see if three freshly minted physics PhDs could design a working nuclear weapon using only publicly available information. In less than 3 years, the three succeeded in creating a credible design for an implosion-style bomb.
For sub-launched ICBMs (like the UK's nuclear deterrent) you also need to factor in the through-life costs of the launcher platform, and the fact that once it starts launching, it has given itself away. We only have four subs, not all of which are on patrol, so it would be barking to compromise these to deliver a conventional payload.
Without nuclear weapons, they're kind of pointless - you don't inflict enough damage to warrant the expense. But the first strike is also so much more survivable.
https://www.royalnavy.mod.uk/news-and-latest-activity/operat...
The UK's current deterrent force is currently expected to be replaced by the successor Dreadnought class [0] in the 2030s. They are currently projected to cost £31 billion (likely an underestimate) for four subs, each of which can carry 8 missiles max. Again, these are a horribly expensive way to deliver conventional explosives when we have cruise missiles instead.
[0] https://en.wikipedia.org/wiki/Dreadnought-class_submarine
Don't you need to also consider the vast expense countries (okay, mostly just the United States) spend to essentially extend their "front line" well beyond their own borders?
According to Wikipedia, Minuteman III ICBMs have a 2020 unit cost of $20 million[2], so for the cost of an Iraq invasion, the US could have fired about 6600 missiles. Considering the invasion toppled the Iraqi government, it's pretty unlikely that firing 6600 missiles with conventional payloads would have been anywhere near as effective.
[0]: https://en.wikipedia.org/wiki/Financial_cost_of_the_Iraq_War...
[1]: https://en.wikipedia.org/wiki/Military_budget_of_the_United_...
[2]: https://en.wikipedia.org/wiki/LGM-30_Minuteman#Counterforce
In other words, you can't really target a "building-size" target with these (with maybe exceptions like the Pentagon).
For nuclear payloads, a few hundred meters of error is much less of an issue, of course.
It's an infinite range weapon which arrives in 20 minutes to kill a target your spy satellites see. They would be used all the time.
I don't think these are quite as viable as you think. ICBMs are expensive. Probably tens of millions of dollars each, for a single-use item. Cruise missiles cost $1-$2 million to deliver the same payload and have a better chance of surprising the enemy.
ICBMs have longer range, but how often do you need to strike targets more than 1000km past the front line? They're inherently strategic weapons.