Is it a bad idea to to run 24 tap and shock lands in standard
Yes, going all shock and check lands has disadvantages. Running one to three basic lands is recommendable for any 3 color deck.

As you already noted, the lack of basic lands can be punished by certain powerful cards that are balanced by allowing the opponent to search a basic land. In Standard, these are Settle the Wreckage, Assassin&#39;s Trophy, and Field of Ruin. In fact, 3 color decks are so common that dedicated land destruction decks have sprung up that look to punish the extreme cases of decks running only non-basic lands. The latter 2 cards mentioned above are cornerstones of that deck, together with Casualties of War.

Another problematic aspect to the approach is inherent and largely independent of the specific meta: 

To use shock lands immediately, you have to "shock" yourself, which can put you in a precarious situation against any form of aggro deck. 

To use check lands immediately, you have to have a shock land in play already. With 50% check lands, it is not uncommon to have a starting hand with all lands being check lands, which means your mana base will be a full turn behind the curve, which is a great tempo disadvantage in almost any matchup.

To alleviate these problems, it is worth considering to replace some of the check lands with basics of the type you need the most. One to three basic lands can greatly reduce 2 of the 3 mentioned problems. Typically, running shock lands is preferrable to running check lands, because having the choice between a tapped land and 2 life loss is typically better than running the risk of being forced to play a land tapped.

Example: at 24 lands total, with 12 shock and 12 check lands, you have the following probabilities that all the lands in your starting hand are check lands:


1 land: 50% 
2 lands: 24.5%
3 lands: 11.7%
4 lands: 5.5%


If you run 24 lands total but only 9 check lands and 3 basics, the probabilities to get all check lands in the starting hand are reduced to:


1 land: 43.7%
2 lands: 18.6%
3 lands: 7.7%
4 lands: 3.1%


The exact number of basics to run entirely depends on how color-hungry your specific deck is, but if your deck in its current form cannot afford to run basic lands at all, you should probably adjust the spells of your deck rather than run the risk of all non-basic lands.