Here's my thoughts: Should testing football players become a national priority in the sense that the Federal Government should intentionally set aside stockpiles of tests for the use of football teams? No. Without getting political, the federal government isn't even doing that for medical workers, police and firefighters or other absolutely vital people. They are only doing it for the actual federal government such as the President, VP, likely some cabinet members and other key staff, and offered it to Congress though they refused. So, while I think it would make sense if the government did manage the testing process at least for certain key groups (not including football), I don't think it will be done at all and definitely not for football players.
Testing is currently handled at the state level. So we should look at it that way. Iowa currently seems to be able to test about 3,000 people per day or about 21,000 people per week. If we assumed 1 test per week for ISU and Iowa that's something like 600 tests per week, or about 3% of Iowa's current testing capacity. Add UNI and it's something like 4-5%. That's assuming that football players would be tested through the normal public healthcare system. So it's not particularly burdensome.
I don't personally believe that football players would be tested through the normal health system. I believe that Universities would hire private testing contractors to be on site at the school and perform tests as needed. Essentially, they would be outside the normal flow of regular tests being performed and would not take away from capacity needed for the general population. This is assuming we have the ability to increase the production of the physical tests and necessary chemicals, and that there would be lab space available to process the tests, etc by late summer. If that doesn't happen, then all bets are off.
I personally think that it should be limited to FBS and FCS level programs along with the NFL. Lower division college and high school football is not going to be able to be played. They will not have the funding to do the testing needed, or the facilities to keep players quarantined from the general population. Some FBS and FCS programs will also likely have to bow out due to lack of funds.