Cambridge Dictionary has an entry for this. It says...
We use rather than to give more importance to one thing when two alternatives or preferences are being compared:
Good to note that when we use 'rather than' with a verb, which is the case here, we use the base form or (less commonly) the -ing form of a verb.
I would prefer to leave now rather than
Another reference with good information is here.
Rather than is normally used in parallel structures: for example with two adjectives, adverbs, nouns, infinitives or -ing forms. When the main clause has a to-infinitive, rather than is normally followed by an infinitive without to. An -ing form is also possible.
So, to answer your question, it could be simply 'use' OR 'using'.