You have many options for "hiding" your location. I have been working from the DR for 9 years, the last 6 of them on the north coast. My customers would freak out if they knew I was not in the U.S. I have to connect to my customer's VPNs on a daily basis and they look at their firewall logs. So I have to "hide" my IP address.
1. Delancer does it for me. No worries. The high speed connection from Delancer shows your public IP as an address from Columbus Networks in Miami. It is how they get their link to the U.S. and then the rest of the world and the trace ends there.
2. You could proxy through one of many web proxy sites that hide your original location but I wouldn't recommend that if the job you get is with a good IT savy company. They will likely find the proxy site/IP on a blacklist somewhere.
3. You could lease a computer at a data center in the U.S. You would connect to that computer and do your work from there. You have to pay for it but if the job is good it is worth it. Companies like 1&1 that host our business website offer this. There are several others besides them that do it for a fairly low price. This may not work if you have to be on a single-tunnel VPN for your work.
4. If you have any friends/family in the States get them to set up a computer for you that you can connect to remotely. This also may not work if you have to be on a single-tunnel VPN for your work.
For options 3 & 4 I have found that GoToMyPC (you do have to pay for it) works better than the traditional tools like RDP, VNC, etc if you have to be on single-tunnel VPNs. It will boot you once you start the VPN but a few seconds later you'll be able to reconnect. Also, be aware that most single-tunnel VPNs are a joke, including the high-end ones. All they do is change your default route when you connect. So you could have a script that connects the vpn and then resets your default route and then you'd be able to reconnect with RDP or anything.
The next question you may have is how to hide your phone so you don't have to have a cell phone that you pay a ton of roaming and international rates on. I have used both Vonage and Skype and you can get U.S. numbers with them. I have tried Magic Jack as well. I found the quality of calls to be better with Vonage so that is my preference but it requires you to have one of their devices. I have been using Skype more recently and I do notice a bit of a drop off from Vonage but it is still better than Magic Jack for me. But some other people I know swear by Magic Jack. I don't know, I have a very high end computer with no resource issues and I think Magic Jack is horrible compared to Skype or Vonage.
If you have specific concerns about "appearing" like you are in the U.S. and how to do some things let me know. I'll be glad to help. I've been doing this for years. I even have a mail forwarding service in the U.S. that will scan mail for me so I can read it online. That is nice so I don't have to have everything forwarded through EPS since you have to pay for everything that is forwarded. Scans are cheap.