Your plan for the car amp sounds workable, aside from having a car battery in your listening room. However, if you were to take the cost of the car amp plus about $100 for battery and charger, you might then post that total amount as your budget and ask for amplifier recommendations at that price point.
It is likely that your member friends can suggest some options that did not occur to you.
Here's one now.... An Onix SP-3 can be had used on this site for $500. It is a tubed integrated with 38 watts per channel output and very sturdy construction. It has two inputs which is one more than you get with a car amp and it comes dangerously close to the big boys sound wise. Check it out.
It is likely that your member friends can suggest some options that did not occur to you.
Here's one now.... An Onix SP-3 can be had used on this site for $500. It is a tubed integrated with 38 watts per channel output and very sturdy construction. It has two inputs which is one more than you get with a car amp and it comes dangerously close to the big boys sound wise. Check it out.