At the same time as Lockheed was marketing the F-104, Avro Canada was desperately trying to sell the Canadian government on going back to their own C.104 project, a single-engine supersonic fighter which had actually started basic design work before their C.105 project, the (in)famous Avro Arrow. In OTL, no work had been done on the project for almost a decade, with Avro Canada's resources turned to the C.105, and there was no realistic chance of the Canadian government accepting the cost of trying to develop the C.104 rather than simply acquiring the F-104.
In an ATL where the RCAF's accepted the single-engine option for development in the early 1950s (meaning no effort to develop the C.105, and presumably the RCAF compromising on range and payload requirements which led to the Arrow OTL); that would neatly have an acceptable option flying to compete with the F-104, assuming that it took roughly the same amount of time to develop the C-104 as the C-105 (a much more ambitious program, which still had its first flight in 1959- after the F-104, but before sales to Europe started with West Germany in 1961). Since the C-104 was never developed (although drawings and supposed specs are easily found online) its hard to say how it would have compared to the F-104, but its delta planform and Orenda Iroquois engine (more powerful than the F-104's J79) should have given it a realistic chance of at least matching the American option. The C.104 should be much cheaper than the OTL Avro Arrow, although given the need to cover all design costs plus a less experienced workforce than Lockheed's it might still end up more expensive than the F-104, again depending on a wide variety of factors.