Since you're introducing possible scenarios, consider the following.
A small fast/agile aircraft carrier with a complement of 8-16 F-35s, possibly with AWACS radar coverage, and 'buddy' type re-fueling assets. The F-35 has an operational radius of about 500 km, which can be extended with buddy re-fueling, or even stealth-defeating external fuel tanks, such that 700 km is not an issue.
The current US inventory anti-radar missile is the Raytheon AGM-88 HARM, which tracks enemy radar up to 150 km , back to its source. The only way to defeat, is to turn off your radar, but then you are blind, and cannot fire missiles at the carrier.
The HARM's successor, HDAM, has a built in GPS and fiber-optic gyro, such that when the target is aquired, switching off the radar will not defeat the missile. Your only hope is to get out of there faster than a M5 missile can cover 150 km.
No US aircraft has ever been lost to surface-to-air missiles when HAR|M has been flying cover/SEAD mission.
The big if, which only larger Navies are able to provide, is network-centric warfare, or greatly improved situational awareness, provided by networking every electronic asset in the field, from AWACS, JSTARS and the parallelled radars of individual F-35s into the C3, command and control system.
The systems have become the largest expenditure in modern warfare.
Bombs, missiles, aircraft and even ships, are just the 'scalpels' in the modern operating theater; the systems and electronic assets are the surgeons.