Basic economics says if you are having a skills shortage in a certain sector then you should see wages increasing as employers attempt to attract the required labor. If wages are not going up then you do not have a skills shortage. This is something economist Dean Baker points out all the time.
Basic economics should also tell you that certain jobs have a value ceiling, and above that ceiling, you either go without, or you find someone willing to work at or below the value ceiling.
We used to have kids employed part time by businesses to do things like police the trash in the parking lot, wash down sidewalks, and so on. But the value to the business is not worth what they'd have to pay in order to get the job done, and so now there is trash in parking lots, and crappy sidewalks, and you contract someone to come in once a week or so with a strew sweeper, because it's cheaper than hiring a junior high/middle school or high school teenager at an adult wage to do the work. Unless you have the "family business/employ your kid for whatever you want" loophole, a lot of that stuff just doesn't get done.
For technical stuff, you either get the equivalent of a migrant farm worker, or day laborer from home depot, and you either get an H1-B to make it legal, or you contract it out to a third party to make it legal, in the same way that a lot of farm workers, or the guys hanging out in the Home Depot aren't legal (and are paid under the table). But what you don't do is hire someone in at a wage higher than the value of the work to the company. You stay at or below the value ceiling at all times, or you might as well be flushing money down the toilet, since your business is not going to make it.