You're in luck Steve, not only have DSLRs got quieter, but one of the
best of the budget level models that is eminently suitable for astrophotography falls well within your budget. You should find a used
Canon 1100D including the kit lens [or body only, if you don't need the
lens], for well under $300. Currently Canon are the most popular DSLRs
for astro because there is more software available for them than any other brand. This is changing, but will still apply for a while yet.
You might find a 1200D for under 300 as well.
raymo
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