2. Strike a deal with the Miami Dolphins
The Miami Dolphins have long been tied to Tua Tagovailoa as their quarterback of the future. With Burrow off the board, Tua and Justin Herbert become the best available quarterbacks remaining. The NY Giants would be wise to make the Dolphins believe that there is a good chance that they will lose out on their choice at quarterback if they are unwilling to move up from their current 5th spot to the Giants 4th spot.
If the Giants can successfully convince the Dolphins of this, there is a chance that they can strike a deal that would land the Giants the 5th pick in the draft as well as the first-round pick Miami received from the Houston Texans in the deal for Laremy Tunsil. That pick will be between 28th and 32nd in the draft, depending on how the Texans finish in the playoffs this year (if not, a second-or-third round pick would surely be worth moving down a slot).
The Giants could then use the fifth pick, should they choose to do so, to still select whomever they planned on picking with the fourth pick, but acquire an additional first-round pick in the process. Adding a high caliber player with a pick later in the 1st round has to be appealing for a Giants team with a number of needs in the draft.
The Giants could also use the fifth pick acquired from Miami much like they did their fourth pick and once again move back. There will still be a number of teams fighting for the top remaining quarterback and the NY Giants would be wise to take advantage of that fact to accumulate more draft capital.