Steven,
I'm still a new guy myself to investing, but I was working overseas too for quite a while. I didn't save that much and the money I did save I used to live like I was still earning what I got over there- what a mistake. Anyhow, you have a good chunk of change to get started and in those shoes I don't see you having any issues. Remember to evaluate your deal so that your ROI is still good vs someone talking you into buying at ARV. I would suggest getting to know an REO agent or short sales agent; learning to buy from that resource. I tried so hard to getting business off the ground when I was over there that I wasted tons of money too with zero results. Finding the right people to work with was the most challenging. I was really in need of a good agent, but finding one that was willing to stay connected with me while I was there was almost impossible. However, I did find one that was great, but getting him to pull comps for me was another issue. Needless to say - I still kept looking until I finally decided to work on getting it myself.
You shouldn't have an issue getting hard money loans as long as you have enough skin in the game provided you have evaluated the property correctly yourself. I just started learning about the Norris Group. Look into them.
I used an FHA for my first purchase. I still intend to use my VA though. My philosophy was this. If I get into a property now using FHA I can turn around and get VA without a problem. I was told that you would have to wait 2 years though. With FHA you have to live in in for, I believe, 1 year and a day before considering too be since I bought it as owner occupied. As for the 2 years, I am under the impression that VA will not consider my current tri-plex an investment property until after 2 years. You can go to e- benefits to apply for a CERT.
As for getting loans without a W2 job I think it can be more difficult to get a loan which is why I mentioned Hard money loans. But if your making money in your own company it shouldn't be an issue with VA. Good luck on your journey. Do you have a company? Legal zoom is great for that. Just in case.