@Michael Dunn it makes sense. If you go into the new property with enough existing equity to cover the closing costs between the two properties AND make positive cash flow then it could be a good buy. If you run the numbers and it's a property that works for you, you could always come back later with a HELOC and eliminate most of the compound interest on both properties while continuing to invest.
I don't know if you've done any VA financing but remember to take into account the VA funding fees and any other VA origination fees your agent, bank, or title company might tack on. VA funding requires a ton of paperwork and extra time. Be aware of additional fees.
What you said earlier is the key to all of this discussion...don't max out your borrowing/leverage ability. Spread yourself too thin and things could unravel quickly. I try to keep the emotion of buying out of it and run the numbers. If they make sense, they make sense. If not, there's always another one.