You can already take it on the go. In any case, I don't see why Nintendo wouldn't include a dock in any revision.
Because the controllers wouldn't disconnect from it, making it a terrible inclusion since it can't be properly used as a selling point?
Besides, a smaller Switch intended to be handheld only would likely skimp on the things that required active cooling, meaning the best it could output to the TV is 720p. Considering how outright offended some people appear to be that the UI is only 720p in docked mode, I doubt many people would want their games that way on the TV, as well.
If Switch sales continue at their current pace I don't see the incentive to cut the price anytime soon. Remember, it took the Wii three years to receive it's first price cut, and a) it only went down $50 and b) its margins were likely a lot better than the Switch's. The Switch going down $100 in the same time frame just doesn't seem realistic to me, and I don't see Nintendo going without a console at or below $200.
The hardware is the delivery mechanism for more software sales. Hardware makers make the majority of their profits from royalties and first-party sales. Anything above a 10-15% profit margin on hardware is usually a waste of potential. You sell hardware once, but you sell software a LOT when you get that hardware in more hands.
The reason Wii never saw such a price cut is:
a) they were in the highest of high demand for several years
b) because they were still a better price than competing devices in the video game category
c) because they were selling so many of them that the software attach rate didn't suffer
Switch may be selling out now, but it will reach an equilibrium faster than Wii did in terms of supply/demand, and Sony and MS have devices that are price-competitive. So yes, it will see a price drop sooner rather than later and likely a handheld-only SKU for an even lower price.