You need to explain to the customer that we use only one term for that 3 terms. See the definition below:
A highway is a major road within a city, or linking several cities together. It includes roads known as interstate highway, freeway, motorway and autobahn, where a full description varies by country. Generally, a highway is a road which has multiple lanes of traffic in each direction, often with a physical division (median) between opposing traffic, and separate access ramps to and from the highway which are more widely separated than connections on a standard road and are often grade-separated. A highway may prohibit access by pedestrians and limit what vehicles may travel on it.
It is a good question and it shows the problems with translation.
Do not use term rychlostna cesta, it doesn't have foreign equivalent, it is basically communist shortcut, when they didn't have money to build real highway

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Navrhoval by som poziadat klienta o dodania automapy s ukazkami jednotlivych typov ciest a podla toho vybrat ekvivalent.

However, in Slovakia do not recognise them this way.