Electronicaly switching parallel LC circuit components
I think you will have to evaluate the trade-offs of the mechanical relay type switching versus the electronic analogue switching component. The relay as you say is ideal from the circuit switching standpoint so the real analysis has to be made regarding some type of electronic switching.

It is not generally true that all analogue switches have relatively high on resistance. There are devices available that have surprisingly low on resistance so certainly do a search for them so you can include them in your evaluation.

The same comments can be made regarding current rating of analogue switches. Do not think that all analogue switches fall in the same realm as the CD4066.

There are some important considerations to be made regarding the semiconductor switching however. Here are a couple of them:


Voltage Level - Semiconductor switching devices will have specific specified voltage levels that you will have to consider for the safe operation of the silicon.
Voltage Range - IC type switching components in general will have a range limit over which they can support the switching of the signal. For switches with just one power supply this range will typically be between VDD and GND. For switches with an additional negative power supply this range will be between VDD and VEE. You must consider the cases when the switching is element is both ON and when it is OFF.