My experience is that sending out CVs and searching for job postings didn't yield any results in my case. All the recruitment processes I've been through came from someone finding my LinkedIn profile and reaching out with a job offer. So, if you have general skills but lack specialized ones, I think the best approach is to tailor your profile to specific job offers and wait for someone to contact you.
I've never done more than 1 profile myself because I have just one strong skill —good knowledge of SQL Server — and my profile is built around that. If I had more skills, I wouldn't list them all, instead, I'd precisely target specific job postings.
Besides SQL Server, I obviously know the basics of other things and have decent general IT knowledge, but I don't mention those skills on my CV or LinkedIn at all.
Simply treat your profile and CV like you're optimizing a website for SEO, targeting specific keywords. That's my advice.
Imagine an average recruiter from a foreign country looking for candidates for a specific position. Make your profile in a way that, first, it appears in their suggestions (through the algorithm/keywords), and second, when they visit it, even without deep IT knowledge, they can easily see that you're a fitting candidate for the role they're trying to fill.