The closest thing to this happened many times during the cold war when SR-71s were over the Barents Sea (north of Scandinavia), skirting the Russian coast, and they were intercepted head-on by Mig-25s or Mig-31s. Initial vectoring was ground-based, then within about 60-75 miles the Mig-31 IR scanning could pick up the hot SR-71 against the cold sky. Other onboard detectors on the Mig gave approximate distance to target via triangulation, which allowed planning the required zoom climb to reach 62,000 ft, which was within the engagement range of the R-33 missile. The R-33 was similar to the American AIM-54 Phoenix: R-33 (missile) - Wikipedia
This was extremely difficult and only possible because the SR-71s were flying the same route repetitively and the Soviets had good intelligence about the takeoff time, thus allowing over three hours to prep the Migs and them in position. These were non-hostile intercepts, viewed as practice for time of war. The SR-71s were not maneuvering or using their extensive ECM suite.
For the Barents Sea missions, the SR-71 was typically at about Mach 3.0 at 75,000 ft. As fuel burned off, it was capable of Mach 3.2 and about 85,000 ft, but the slower speed was chosen due to the required 32 degree bank angle to follow the coast, which reduced the chance of an engine “unstart”.
The Migs (although nominally capable of Mach 2.8 or so) had to trade speed for altitude, so by the time they reached about 62,000 ft, they were probably only going about Mach 1. The SR-71 passed overhead, head-on, 13,000 ft higher; the head-on closing rate was possibly around Mach 4.
A Mach 4 closing speed equates to about 1 mile per second, so under ideal conditions the SR-71 could be detected about 60 seconds out via IR. Due to the extreme closing velocity and thermal and fuel limits on the Mig, it had difficulty reaching that altitude then safely reaching the ground. So the pull-up maneuver had to be precisely timed.
Visually, the Mig pilots typically only saw the SR-71 as a contrail (in the rare conditions contrails existed at 75,000 ft) and/or a visual dot. Only once did any Mig pilot report visually seeing the aircraft as a small discernible outline. In published reports he did not give a subjective impression of the aircraft speed, but if some of the previously-posted airliner footage was played at 2x speed, that might roughly approximate it.
These were reported in the most detailed SR-71 book, “Lockheed Blackbird: Beyond the Secret Mission”, by Paul Crickmore. He even interviewed both Soviet and American pilots on both sides of the intercepts to get their personal accounts: Amazon.com: Lockheed Blackbird: Beyond the Secret Missions (Revised Edition) eBook : Crickmore, Paul F.: Kindle Store