So these are just estimates.

I based this on today's rates using mortgage news daily's website average rate of 6.5%

I assumed a 5% down payment

I assumed a 0.25% mortgage insurance factor (since this scenario doesn't have 20% down)

and I'm using average rates for property taxes and homeowners insurance for the state individually.

Under those rules, here are the home prices that could get a $2,000 monthly payment for you.

StateHome Price
DE$293,686
NV$290,821
HI$289,925
WV$289,623
ID$288,920
UT$288,495
WY$284,413
OR$277,494
AZ$277,229
CA$276,894
AK$274,529
WA$274,423
TN$274,311
ME$273,284
VA$272,383
NM$271,295
MD$270,575
SC$269,984
AL$269,741
NY$269,331
IN$269,018
VT$267,734
NC$267,153
GA$266,075
MA$265,724
NH$265,113
MT$264,622
MO$263,871
PA$261,597
CO$261,586
AR$261,442
RI$261,312
WI$261,099
OH$258,021
MI$257,653
MS$256,276
NJ$254,801
MN$253,423
CT$252,963
KY$252,317
ND$251,337
IA$249,235
SD$247,198
LA$239,910
IL$232,606
TX$227,993
OK$227,692
KS$227,035
FL$221,417
NE$211,334

I thought I'd include a chart to help you compare that to the average home value in the state.

For example, in Hawaii you might be able to keep your payment at $2,000 and get a bigger purchase price than the majority of the other states, but there is a huge discrepancy between the average home value, and what a $2,000 payment can get you.

Here's what I'm trying to say:

You probably can't find anything in Hawaii for $289,925

Part 2: compared to the state average home value

Stateprice for $2k pmtAverage Home Value
DE$293,686$377,000
NV$290,821$496,000
HI$289,925$743,000
WV$289,623$170,000
ID$288,920$433,000
UT$288,495$589,000
WY$284,413$320,000
OR$277,494$522,000
AZ$277,229$436,000
CA$276,894$833,000
AK$274,529$345,000
WA$274,423$630,000
TN$274,311$389,000
ME$273,284$375,000
VA$272,383$412,000
NM$271,295$371,000
MD$270,575$412,000
SC$269,984$404,000
AL$269,741$220,000
NY$269,331$576,000
IN$269,018$253,000
VT$267,734$375,000
NC$267,153$380,000
GA$266,075$375,000
MA$265,724$615,000
NH$265,113$502,000
MT$264,622$528,000
MO$263,871$263,000
PA$261,597$301,000
CO$261,586$582,000
AR$261,442$223,000
RI$261,312$485,000
WI$261,099$299,000
OH$258,021$249,000
MI$257,653$249,000
MS$256,276$255,000
NJ$254,801$526,000
MN$253,423$407,000
CT$252,963$429,000
KY$252,317$235,000
ND$251,337$350,000
IA$249,235$239,000
SD$247,198$326,000
LA$239,910$239,000
IL$232,606$289,000
TX$227,993$340,000
OK$227,692$246,000
KS$227,035$252,000
FL$221,417$417,000
NE$211,334$360,000

Part 3: sorted by states with the most realistic chance of getting a $2,000 monthly payment or less

Just to be clear, anyone can achieve a $2,000 monthly payment in any state if you have a HUGE down payment.

But under the rules I set for this example (5% down payment) here is the ranking of the states with the best chance of getting a decent home for a payment of $2,000 or less.

RankingState
1WV
2AL
3AR
4KY
5IN
6IA
7OH
8MI
9MS
10LA
11MO
12OK
13KS
14WY
15WI
16PA
17IL
18AK
19SD
20DE
21ND
22NM
23ME
24VT
25GA
26TX
27NC
28TN
29SC
30VA
31MD
32ID
33NE
34MN
35AZ
36CT
37FL
38NV
39RI
40NH
41OR
42MT
43NJ
44UT
45NY
46CO
47MA
48WA
49HI
50CA

I counted it up.

only the top 11 states in this chart have an average home value to where you could realistically get a mortgage payment of $2,000 or less without putting more than 5% down payment.