First point I realise that you are looking for a cheapish solution and don't want to use a tailboard but have you considered a towbar and towbar mounted cycle rack? It will save you having to lift the bikes and eliminate the dangers of scratching the rear bodywork.
I have a Witter towbar fitted to my i10 and it costs around £120 including ball and electrics (the i10 does not require a bypass relay). You can also get the detachable version for around £190, it is actually same bar as the fixed but comes with a detachable ball.
This bar is very easy to fit, just remove four plastic screws underneath the rear bumper then the bar slips inside the bumber and attaches to four fixing points (2 either side) that are already fitted to the i10 chasis (30 mins max). The advantage of the Witter bar is that the rear bumber does not have to be cut. To wire it up you may well want to get a mobile towbar fitter in as the rear trim needs to be removed to get at the wiring looms which run down both sides of the car. Not realising how easy it was to fit the bar i paid around £70 to have both the bar fitted and the electrics wired.
A real advantage of a towbar is that it is the ultimate parking sensor and rear end protector. What really surprised me was how well the i10 1.2 tows, it is all too easy to forget that you have a trailer behind.
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