Sure its possible to cut out the comb and crush and strain the wax to get the honey out. For just one hive that would not be that hard to do. The only draw back is you don't have the comb to reuse next year.
You maybe able to use a friends extractor, look around for a beekeeper close by, maybe you can help him extract his honey and you can do yours when you'll are finished. Most bee clubs also rent extractors. So there are other options than buying an extractor for just one hive. I personally don't even like to crush and strain my cappings so I don't think I would like the crush and strain routine. But, it surely can be done. It just comes down to what works best for you.
You maybe able to use a friends extractor, look around for a beekeeper close by, maybe you can help him extract his honey and you can do yours when you'll are finished. Most bee clubs also rent extractors. So there are other options than buying an extractor for just one hive. I personally don't even like to crush and strain my cappings so I don't think I would like the crush and strain routine. But, it surely can be done. It just comes down to what works best for you.